Fractions, Decimals & Percentages Flashcards
86 flashcards on fraction, decimal and percent conversions, exact and rounded equivalents, mixed-value comparisons, and common mistakes.
حول هذه الرزمة
Practice 86 English flashcards on fractions, decimals, and percentages. Build fluent recall of common equivalents, then use that knowledge to compare values, calculate short percentage problems, and spot conversion mistakes.
The cards teach all six conversion procedures: fraction to decimal, fraction to percentage, decimal to fraction, decimal to percentage, percentage to fraction, and percentage to decimal. Fifteen familiar proper fractions have a decimal or percentage prompt plus a separate recall prompt that returns to the fraction from one of those forms. The set adds mixed numbers, values above one, percentages below 1% and above 100%, and selected repeating-decimal equivalents. Exact answers and rounded answers are distinguished, with the required precision stated on each rounding prompt.
Comparisons ask you to choose the larger value, recognize equality, or order three mixed representations. Short applications practice percentage of an amount, part as a percentage of a whole, recovering a whole from a known percentage, and the percentage left after a discount. Error cards check division direction, place value, simplification, percentage notation, premature rounding, and the reference whole.
Learn the notation and conversion methods first. Familiar equivalents come next, with related prompts separated, followed by extended conversions, comparisons, and applications. Say or write the answer before turning the card, then work fresh problems outside the deck. Each card has one short retrieval task and an answer with brief reasoning.
This is focused foundational practice for secondary-school and adult learners. It does not include every possible direction for every number: selected reverse prompts give useful retrieval practice without a full permutation table. Negative-number ordering, full fraction arithmetic, recurring-decimal algebra, ratio and unit conversions, dosage calculations, and long multistep exercises are outside its scope. It is not a complete course or exam preparation program.
Questions, answers, examples, sequence, and metadata were independently authored with AI assistance. Arithmetic was checked directly; general definitions were cross-checked against freely available decimal, percentage, and repeating-decimal references. No textbook, examination, or competitor-deck wording or diagrams were copied. Mathematical facts are common knowledge. The original text and generated cover are released under CC0 1.0 to the extent applicable rights exist. This is an independent resource, unaffiliated with any school or examination provider.
بطاقات هذه الرزمة
البطاقة ١
السؤال
In a fraction of one whole, what does the denominator count?
الإجابة
The equal parts that make one whole. In 3/7, the whole is divided into seven equal parts.
البطاقة ٢
السؤال
What does percent mean?
الإجابة
Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.
البطاقة ٣
السؤال
In 0.6, what place does the digit 6 occupy?
الإجابة
The tenths place. Its value is 6/10.
البطاقة ٤
السؤال
How do you reduce a fraction to simplest form?
الإجابة
Divide its numerator and denominator by their greatest common factor. The fraction keeps the same value.
البطاقة ٥
السؤال
Fraction → decimal: which division do you calculate?
الإجابة
Numerator ÷ denominator. The denominator must be nonzero.
البطاقة ٦
السؤال
How do you turn a terminating decimal into a fraction?
الإجابة
Use place value: write the digits over 10, 100, 1,000, and so on, then simplify. For example, 0.032 = 32/1,000 = 4/125.
البطاقة ٧
السؤال
In 3/7 of one whole, what does the numerator count?
الإجابة
Three of the seven equal parts.
البطاقة ٨
السؤال
Percent → decimal: what do you do with the number before %?
الإجابة
Divide it by 100 and remove the % sign.
البطاقة ٩
السؤال
Does writing 0.60 instead of 0.6 change the numerical value?
الإجابة
No. Both equal six tenths. A trailing zero after the decimal does not change the value.
البطاقة ١٠
السؤال
What does the mixed number 2 3/5 mean?
الإجابة
2 + 3/5. The space joins a whole-number part and a fractional part; it does not mean multiplication.
البطاقة ١١
السؤال
Fraction → percent: how do you find the number before %?
الإجابة
Divide the numerator by the denominator, then multiply the result by 100. Attach the % sign to that number.
البطاقة ١٢
السؤال
Decimal → percent: how do you find the number before %?
الإجابة
Multiply the decimal by 100, then attach the % sign.
البطاقة ١٣
السؤال
In 0.47, what is the value of the digit 7?
الإجابة
7/100, or 0.07. The 7 is in the hundredths place.
البطاقة ١٤
السؤال
Percent → fraction: what denominator does % supply?
الإجابة
100
Put the number before % over 100. If the numerator has a decimal, multiply both parts by the same power of 10 to get integers, then simplify.
البطاقة ١٥
السؤال
1/2 as a decimal?
الإجابة
0.5. One divided by two is five tenths.
البطاقة ١٦
السؤال
1/5 as a percentage?
الإجابة
20%. Multiply numerator and denominator by 20 to get 20/100.
البطاقة ١٧
السؤال
3/4 as a decimal?
الإجابة
0.75. Three divided by four is seventy-five hundredths.
البطاقة ١٨
السؤال
1/10 as a percentage?
الإجابة
10%. One tenth is ten hundredths.
البطاقة ١٩
السؤال
1/4 as a percentage?
الإجابة
25%. Four equal quarters each account for 25 out of 100.
البطاقة ٢٠
السؤال
50% as a fraction in simplest form?
الإجابة
1/2. Reduce 50/100 by dividing both parts by 50.
البطاقة ٢١
السؤال
3/5 as a decimal?
الإجابة
0.6. Multiply both parts by 2: 3/5 = 6/10.
البطاقة ٢٢
السؤال
0.2 as a fraction in simplest form?
الإجابة
1/5. Reduce 2/10 by dividing both parts by 2.
البطاقة ٢٣
السؤال
1/8 as a decimal?
الإجابة
0.125. One divided by eight terminates after three decimal places.
البطاقة ٢٤
السؤال
75% as a fraction in simplest form?
الإجابة
3/4. Reduce 75/100 by dividing both parts by 25.
البطاقة ٢٥
السؤال
4/5 as a percentage?
الإجابة
80%. Each fifth is 20%, so four fifths is 80%.
البطاقة ٢٦
السؤال
0.1 as a fraction in simplest form?
الإجابة
1/10. The 1 is in the tenths place.
البطاقة ٢٧
السؤال
1/20 as a decimal?
الإجابة
0.05. Multiply both parts by 5: 1/20 = 5/100.
البطاقة ٢٨
السؤال
0.25 as a fraction in simplest form?
الإجابة
1/4. Reduce 25/100 by dividing both parts by 25.
البطاقة ٢٩
السؤال
60% as a fraction in simplest form?
الإجابة
3/5. Reduce 60/100 by dividing both parts by 20.
البطاقة ٣٠
السؤال
5/8 as a percentage?
الإجابة
62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.
البطاقة ٣١
السؤال
12.5% as a fraction in simplest form?
الإجابة
1/8. Write 12.5/100 = 125/1,000, then simplify.
البطاقة ٣٢
السؤال
3/8 as a decimal?
الإجابة
0.375. Three divided by eight is 375 thousandths.
البطاقة ٣٣
السؤال
0.8 as a fraction in simplest form?
الإجابة
4/5. Reduce 8/10 by dividing both parts by 2.
البطاقة ٣٤
السؤال
1/25 as a percentage?
الإجابة
4%. Multiply numerator and denominator by 4 to get 4/100.
البطاقة ٣٥
السؤال
5% as a fraction in simplest form?
الإجابة
1/20. Reduce 5/100 by dividing both parts by 5.
البطاقة ٣٦
السؤال
2/5 as a decimal?
الإجابة
0.4. Multiply both parts by 2: 2/5 = 4/10.
البطاقة ٣٧
السؤال
0.625 as a fraction in simplest form?
الإجابة
5/8. Reduce 625/1,000 by dividing both parts by 125.
البطاقة ٣٨
السؤال
7/8 as a percentage?
الإجابة
87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.
البطاقة ٣٩
السؤال
37.5% as a fraction in simplest form?
الإجابة
3/8. Write 37.5/100 = 375/1,000, then simplify.
البطاقة ٤٠
السؤال
3/20 as a decimal?
الإجابة
0.15. Multiply both parts by 5: 3/20 = 15/100.
البطاقة ٤١
السؤال
0.04 as a fraction in simplest form?
الإجابة
1/25. Reduce 4/100 by dividing both parts by 4.
البطاقة ٤٢
السؤال
40% as a fraction in simplest form?
الإجابة
2/5. Reduce 40/100 by dividing both parts by 20.
البطاقة ٤٣
السؤال
0.875 as a fraction in simplest form?
الإجابة
7/8. Reduce 875/1,000 by dividing both parts by 125.
البطاقة ٤٤
السؤال
15% as a fraction in simplest form?
الإجابة
3/20. Reduce 15/100 by dividing both parts by 5.
البطاقة ٤٥
السؤال
5/4 as a decimal?
الإجابة
1.25. One whole plus one quarter is 1 + 0.25.
البطاقة ٤٦
السؤال
0.6% as a decimal?
الإجابة
0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.
البطاقة ٤٧
السؤال
What distinguishes a repeating decimal from a terminating decimal?
الإجابة
A repeating decimal continues with a fixed digit or block of digits repeating forever, such as 0.272727… . A terminating decimal can be written with finitely many decimal places.
البطاقة ٤٨
السؤال
2.5 as a percentage?
الإجابة
250%. Multiply 2.5 by 100 and attach %.
البطاقة ٤٩
السؤال
0% as a decimal?
الإجابة
0
Zero divided by 100 is zero.
البطاقة ٥٠
السؤال
1/3 as an exact decimal?
الإجابة
0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.
البطاقة ٥١
السؤال
125% as a fraction in simplest form?
الإجابة
5/4. Reduce 125/100; the result exceeds one whole.
البطاقة ٥٢
السؤال
1 3/4 as a percentage?
الإجابة
175%. Convert the mixed number to 1.75, then multiply by 100.
البطاقة ٥٣
السؤال
2/3 as an exact percentage?
الإجابة
66 2/3%. Multiplying 2/3 by 100 gives 200/3, or 66 2/3, before the % sign.
البطاقة ٥٤
السؤال
0.006 as a percentage?
الإجابة
0.6%. Multiply 0.006 by 100 and attach %.
البطاقة ٥٥
السؤال
1/6 as a decimal, rounded to three decimal places?
الإجابة
0.167. The exact decimal is 0.1666… (6 repeats forever); the next digit rounds the third decimal place up.
البطاقة ٥٦
السؤال
0.333… (3 repeats forever) as a fraction in simplest form?
الإجابة
1/3. This is exact; 0.333 without the repeating tail is a different number.
البطاقة ٥٧
السؤال
1 as a percentage?
الإجابة
100%. One whole corresponds to 100 out of 100.
البطاقة ٥٨
السؤال
2/3 as a percentage, rounded to one decimal place?
الإجابة
66.7%. The exact percentage is 66 2/3%, so round the repeating decimal percentage at the end.
البطاقة ٥٩
السؤال
1/12 as an exact percentage?
الإجابة
8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.
البطاقة ٦٠
السؤال
0.333 as a fraction in simplest form?
الإجابة
333/1,000. It ends after three decimal places and is not exactly 1/3.
البطاقة ٦١
السؤال
How can you compare a fraction, a decimal, and a percentage on one scale?
الإجابة
Convert them all to decimals or all to fractions, then compare their numerical values. Keep exact values when rounding could affect the result.
البطاقة ٦٢
السؤال
Which is larger: 7/20 or 34%?
الإجابة
7/20. It equals 0.35, while 34% equals 0.34.
البطاقة ٦٣
السؤال
Which is larger: 0.09 or 0.1?
الإجابة
0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.
البطاقة ٦٤
السؤال
Are 9/20 and 45% equal?
الإجابة
Yes. 9/20 = 45/100 = 45%.
البطاقة ٦٥
السؤال
Which is larger: 0.5% or 0.05?
الإجابة
0.05. The other value, 0.5%, equals 0.005.
البطاقة ٦٦
السؤال
Order from smallest to largest: 0.58, 3/5, 59%.
الإجابة
0.58 < 59% < 3/5. As decimals, they are 0.58, 0.59, and 0.60.
البطاقة ٦٧
السؤال
Which is larger: 130% or 1 1/4?
الإجابة
130%. It equals 1.3, while 1 1/4 equals 1.25.
البطاقة ٦٨
السؤال
Which is larger: 1/3 or 33.3%?
الإجابة
1/3. The percentage equals exactly 0.333, while 1/3 = 0.333… with 3 repeating forever.
البطاقة ٦٩
السؤال
Which is larger: 3/8 or 38%?
الإجابة
38%. The fraction equals 0.375, while 38% equals 0.38.
البطاقة ٧٠
السؤال
Which is larger: 17/20 or 0.84?
الإجابة
17/20. It equals 0.85, which is greater than 0.84.
البطاقة ٧١
السؤال
How do you calculate p% of an amount A?
الإجابة
(p ÷ 100) × A. First convert the percentage to a decimal multiplier.
البطاقة ٧٢
السؤال
12% of 150?
الإجابة
18
Calculate 0.12 × 150.
البطاقة ٧٣
السؤال
How do you find what percentage a part is of a nonzero whole?
الإجابة
(part ÷ whole) × 100%. Divide by the whole, not by the part.
البطاقة ٧٤
السؤال
A 20% discount leaves what percentage of the original price to pay?
الإجابة
80%. Subtract the discount from 100%.
البطاقة ٧٥
السؤال
150% of 40?
الإجابة
60
Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.
البطاقة ٧٦
السؤال
30 is 15% of what number?
الإجابة
200
Divide the part by the decimal percentage: 30 ÷ 0.15.
البطاقة ٧٧
السؤال
18 out of 72 is what percentage?
الإجابة
25%. Calculate (18 ÷ 72) × 100%.
البطاقة ٧٨
السؤال
0.5% of 600?
الإجابة
3
Calculate 0.005 × 600.
البطاقة ٧٩
السؤال
To convert 2/7 to a decimal, a learner calculates 7 ÷ 2. What must change?
الإجابة
Use 2 ÷ 7. The numerator is divided by the denominator, in that order.
البطاقة ٨٠
السؤال
A learner writes 0.42 = 0.42%. What is the correct percentage?
الإجابة
42%. Multiply the decimal by 100 before adding %; 0.42% would equal 0.0042.
البطاقة ٨١
السؤال
A learner writes 0.018 = 18/100. What is the correct simplest fraction?
الإجابة
9/500. Three decimal places give 18/1,000, which simplifies to 9/500.
البطاقة ٨٢
السؤال
Why is “a percentage cannot exceed 100%” incorrect?
الإجابة
100% is one reference whole, and an amount can exceed it. For example, 160% of a positive amount is 1.6 times that amount.
البطاقة ٨٣
السؤال
A learner reduces 12/20 to 6/20. What is the correct simplest fraction?
الإجابة
3/5. Divide both numerator and denominator by 4. Changing only the numerator changes the value.
البطاقة ٨٤
السؤال
A learner rounds 1/6 to 0.17 before converting to percent. What is 1/6 as a percentage to one decimal place?
الإجابة
16.7%. Convert the exact fraction first: (1/6) × 100 = 16.666… before attaching %. Round only the final percentage.
البطاقة ٨٥
السؤال
For the same whole, why is 1/9 smaller than 1/6?
الإجابة
Nine equal parts make each part smaller than six equal parts. With the same positive numerator, a larger positive denominator gives a smaller fraction.
البطاقة ٨٦
السؤال
Why can 10% of 80 and 10% of 200 be different amounts?
الإجابة
The reference whole is different. They are 8 and 20 respectively, even though the percentage is the same.
٨٦ بطاقة
Fractions, Decimals & Percentages Flashcards
سيفتح تطبيق Flashcards لتبدأ الدراسة.