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Grade 4 Quiz: Fractions — Easy Version 2
Grade 4 · MathSheets Name: ____________________ Date: __________
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.
How to solve
This quiz mixes questions from different lessons, like a real test. Read each question carefully: the lesson name in front tells you what kind of problem it is. Check your answers, then practise the lessons where you made mistakes.
Example
Multiply a Fraction by a Whole Number: 3 × 35 = ___
Answer: 1 45
Not quite. The answer is
💡 2 divides both: 2 ÷ 2 = 1 and 8 ÷ 2 = 4. 1 and 4 share no factor bigger than 1, so no bigger number divides both. The greatest is 2.
✓ Correct!
Not quite. The answer is
💡 2 divides both: 2 ÷ 2 = 1 and 8 ÷ 2 = 4. 1 and 4 share no factor bigger than 1, so no bigger number divides both. The greatest is 2.
💡 How to solve: Simplifying Fractions to Lowest Terms
Find the greatest common factor (GCF) of the numerator and the denominator, then divide both by it. Example: 1236. The GCF of 12 and 36 is 12, so 12 ÷ 12 = 1 and 36 ÷ 12 = 3: 1236 = 13. You can also divide by a smaller common factor again and again until only 1 divides both (1236 → 618 → 26 → 13). For an improper fraction, simplify and write it as a mixed number: 184 = 92 = 4 12.
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1418 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 0.21 means 21 hundredths: 21100. So 0.21 = 21100.
✓ Correct!
Not quite. The answer is
💡 0.21 means 21 hundredths: 21100. So 0.21 = 21100.
💡 How to solve: Converting Decimals to Fractions
Read the decimal by its last place: 0.7 is seven tenths, so 0.7 = 710; 0.23 is twenty-three hundredths, so 0.23 = 23100; 0.05 = 5100. Then simplify by dividing the top and bottom by their greatest common factor: 0.25 = 25100 = 14 (divide by 25) and 0.6 = 610 = 35 (divide by 2). For a decimal greater than 1, the whole number stays in front and the decimal part becomes the fraction: 3.6 = 3 610 = 3 35.
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Write 0.41 as a fraction with denominator 100.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 910 means 9 tenths. Tenths are the first place after the decimal point, so 910 = 0.9.
✓ Correct!
Not quite. The answer is
💡 910 means 9 tenths. Tenths are the first place after the decimal point, so 910 = 0.9.
💡 How to solve: Fraction-Decimal Conversion (Mixed Review)
Tenths have one digit after the decimal point and hundredths have two, so 710 = 0.7 and 7100 = 0.07. To change a decimal to a fraction, write the digits over 10 or 100, then simplify to simplest form.
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Convert 210 to a decimal.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 318 is more than 1: 31 ÷ 8 = 3 R 7, so 318 = 3 78.
✓ Correct!
Not quite. The answer is
💡 318 is more than 1: 31 ÷ 8 = 3 R 7, so 318 = 3 78.
💡 How to solve: Mixed Numbers & Improper Fractions (Mixed Review)
Mixed number to improper fraction: multiply the whole number by the denominator and add the numerator; keep the denominator (2 34 = 2 × 4 + 34 = 114). Improper fraction to mixed number: divide the numerator by the denominator; the quotient is the whole number and the remainder is the new numerator (114 = 2 34).
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Write 1 13 as an improper fraction.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 87100 is 87 hundredths. So 87100 = 0.87.
✓ Correct!
Not quite. The answer is
💡 87100 is 87 hundredths. So 87100 = 0.87.
💡 How to solve: Converting Fractions to Decimals
Tenths fill one place after the decimal point and hundredths fill two. 710 = 0.7 and 23100 = 0.23. If there are fewer than 10 hundredths, keep the tenths place with a 0: 7100 = 0.07. When the denominator is not 10 or 100, first make an equivalent fraction with denominator 10 or 100: 34 = 75100 = 0.75 (multiply top and bottom by 25), and 35 = 610 = 0.6. For a mixed number, the whole number goes before the decimal point: 2 710 = 2.7 and 5 34 = 5.75.
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Write 73100 as a decimal.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Add the numerators: 8 + 1 = 9. Keep the denominator 2: 92.
✓ Correct!
Not quite. The answer is
💡 Add the numerators: 8 + 1 = 9. Keep the denominator 2: 92.
💡 How to solve: Converting Mixed Numbers to Improper Fractions
Multiply the whole number by the denominator, add the numerator, and keep the same denominator. Example: 2 34. 2 × 4 = 8 fourths, and 8 + 3 = 11 fourths, so 2 34 = 114. Another: 5 23 = 5 × 3 + 23 = 173.
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Write 4 13 as an improper fraction.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The second bar is cut into 9 equal parts. The top went from 1 to 3: 1 × 3 = 3. Multiply the bottom by the same number: 3 × 3 = 9. So 13 = 39.
✓ Correct!
Not quite. The answer is
💡 The second bar is cut into 9 equal parts. The top went from 1 to 3: 1 × 3 = 3. Multiply the bottom by the same number: 3 × 3 = 9. So 13 = 39.
💡 How to solve: Fraction Equivalence
Find what the old bottom number was multiplied by to get the new bottom number. Multiply the top number by the same amount to get the missing numerator.
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14 = ___8
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The other part is the whole take away the part you know. Subtract the fractions: 45 − 35 = 15. Subtract the whole numbers: 2 − 1 = 1. Put them together: 1 15.
✓ Correct!
Not quite. The answer is
💡 The other part is the whole take away the part you know. Subtract the fractions: 45 − 35 = 15. Subtract the whole numbers: 2 − 1 = 1. Put them together: 1 15.
💡 How to solve: Subtracting Mixed Numbers (Like Denominators)
Subtract the fractions, then the whole numbers: 4 35 − 1 15 = 3 25. If the first fraction is too small, regroup: take 1 from the whole number and turn it into the same number of parts. 5 14 − 2 34: 5 14 = 4 54, so 4 54 − 2 34 = 2 24 = 2 12. A whole number works the same way: 6 − 2 38 = 5 88 − 2 38 = 3 58.
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3 37 − 2 17 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Subtract the fractions: 58 − 48 = 18. Subtract the whole numbers: 3 − 2 = 1. Put them together: 1 18.
✓ Correct!
Not quite. The answer is
💡 Subtract the fractions: 58 − 48 = 18. Subtract the whole numbers: 3 − 2 = 1. Put them together: 1 18.
💡 How to solve: Add & Subtract Mixed Numbers (Mixed Review)
Add or subtract the fractions first, then the whole numbers. If the fractions add to 1 or more, trade them for a whole (54 = 1 14). If the top fraction is too small to subtract from, take 1 whole and change it to fourths, eighths and so on: 3 14 = 2 54.
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4 38 + 4 48 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The left side adds to 5 + 2 = 7, so 79. The right side already has 69, so it needs 7 − 6 = 1 more: 19.
✓ Correct!
Not quite. The answer is
💡 The left side adds to 5 + 2 = 7, so 79. The right side already has 69, so it needs 7 − 6 = 1 more: 19.
💡 How to solve: Adding Fractions with Like Denominators
When the denominators are the same, add the numerators and keep the denominator: 38 + 28 = 58. Then simplify if you can: 28 + 48 = 68 = 34. If the numerator is bigger than the denominator, write a mixed number: 56 + 46 = 96 = 1 36 = 1 12. With three fractions, add all three numerators: 25 + 45 + 35 = 95 = 1 45.
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810 + 110 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Grade 4 Quiz: Fractions — Easy Version 2
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.