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Grade 8 Quiz: Fractions — Easy Version 1
Grade 8 · Whoobee 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
Repeating Decimals to Fractions: Write 0.33333… as a fraction in lowest terms.
Answer: 13
Not quite. The answer is
💡 Let x = 0.44444…. The block 4 repeats, so multiply by 10: 10x = 4.444…. Subtract x = 0.44444… to remove the repeating part: 9x = 4, so x = 49. This is already in lowest terms, so the answer is 49.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.44444…. The block 4 repeats, so multiply by 10: 10x = 4.444…. Subtract x = 0.44444… to remove the repeating part: 9x = 4, so x = 49. This is already in lowest terms, so the answer is 49.
💡 How to solve: Repeating Decimals to Fractions
Let x equal the decimal. Multiply by 10, 100 or 1000 so the repeating part lines up (one repeating digit: 10x, two digits: 100x), subtract x to remove the repeating part, then solve and simplify. For 0.2727…: 100x - x = 27, so 99x = 27 and x = 2799 = 311.
Try a similar one
Write 0.88888… as a fraction in lowest terms.
✓ 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
💡 Multiply the bottom first: add the exponents of b: 5 + 4 = 9. The bottom is b9. There are no numbers to divide. b: 4 on top and 9 on the bottom. The bottom has more: 9 − 4 = 5, so b5 goes on the bottom. So b4b5 · b4 = 1b5.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of b: 5 + 4 = 9. The bottom is b9. There are no numbers to divide. b: 4 on top and 9 on the bottom. The bottom has more: 9 − 4 = 5, so b5 goes on the bottom. So b4b5 · b4 = 1b5.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
a5a5 · a5 = ___
✓ 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
💡 Let x = 0.6161…. The block 61 repeats, so multiply by 100: 100x = 61.616161…. Subtract x = 0.6161… to remove the repeating part: 99x = 61, so x = 6199. This is already in lowest terms, so the answer is 6199.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.6161…. The block 61 repeats, so multiply by 100: 100x = 61.616161…. Subtract x = 0.6161… to remove the repeating part: 99x = 61, so x = 6199. This is already in lowest terms, so the answer is 6199.
💡 How to solve: Repeating Decimals to Fractions
Let x equal the decimal. Multiply by 10, 100 or 1000 so the repeating part lines up (one repeating digit: 10x, two digits: 100x), subtract x to remove the repeating part, then solve and simplify. For 0.2727…: 100x - x = 27, so 99x = 27 and x = 2799 = 311.
Try a similar one
Write 0.0505… as a fraction in lowest terms.
✓ 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
💡 Multiply the bottom first: add the exponents of a: 3 + 5 = 8. The bottom is a8. There are no numbers to divide. a: 3 on top and 8 on the bottom. The bottom has more: 8 − 3 = 5, so a5 goes on the bottom. So a3a3 · a5 = 1a5.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of a: 3 + 5 = 8. The bottom is a8. There are no numbers to divide. a: 3 on top and 8 on the bottom. The bottom has more: 8 − 3 = 5, so a5 goes on the bottom. So a3a3 · a5 = 1a5.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
b4b5 · b5 = ___
✓ 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
💡 Let x = 0.55555…. The block 5 repeats, so multiply by 10: 10x = 5.555…. Subtract x = 0.55555… to remove the repeating part: 9x = 5, so x = 59. This is already in lowest terms, so the answer is 59.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.55555…. The block 5 repeats, so multiply by 10: 10x = 5.555…. Subtract x = 0.55555… to remove the repeating part: 9x = 5, so x = 59. This is already in lowest terms, so the answer is 59.
💡 How to solve: Repeating Decimals to Fractions
Let x equal the decimal. Multiply by 10, 100 or 1000 so the repeating part lines up (one repeating digit: 10x, two digits: 100x), subtract x to remove the repeating part, then solve and simplify. For 0.2727…: 100x - x = 27, so 99x = 27 and x = 2799 = 311.
Try a similar one
Write 0.2424… as a fraction in lowest terms.
✓ 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
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of a: 1 + 5 = 6. The bottom is a6. There are no numbers to divide. a: 3 on top and 6 on the bottom. The bottom has more: 6 − 3 = 3, so a3 goes on the bottom. So a3a · a5 = 1a3.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of a: 1 + 5 = 6. The bottom is a6. There are no numbers to divide. a: 3 on top and 6 on the bottom. The bottom has more: 6 − 3 = 3, so a3 goes on the bottom. So a3a · a5 = 1a3.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
m2m2 · m4 = ___
✓ 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
💡 Let x = 0.7575…. The block 75 repeats, so multiply by 100: 100x = 75.757575…. Subtract x = 0.7575… to remove the repeating part: 99x = 75, so x = 7599. Divide the top and bottom by 3: x = 2533.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.7575…. The block 75 repeats, so multiply by 100: 100x = 75.757575…. Subtract x = 0.7575… to remove the repeating part: 99x = 75, so x = 7599. Divide the top and bottom by 3: x = 2533.
💡 How to solve: Repeating Decimals to Fractions
Let x equal the decimal. Multiply by 10, 100 or 1000 so the repeating part lines up (one repeating digit: 10x, two digits: 100x), subtract x to remove the repeating part, then solve and simplify. For 0.2727…: 100x - x = 27, so 99x = 27 and x = 2799 = 311.
Try a similar one
Write 0.11111… as a fraction in lowest terms.
✓ 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
💡 Multiply the bottom first: add the exponents of b: 5 + 4 = 9. The bottom is b9. There are no numbers to divide. b: 2 on top and 9 on the bottom. The bottom has more: 9 − 2 = 7, so b7 goes on the bottom. So b2b5 · b4 = 1b7.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of b: 5 + 4 = 9. The bottom is b9. There are no numbers to divide. b: 2 on top and 9 on the bottom. The bottom has more: 9 − 2 = 7, so b7 goes on the bottom. So b2b5 · b4 = 1b7.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
bb2 · b5 = ___
✓ 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
💡 Let x = 0.66666…. The block 6 repeats, so multiply by 10: 10x = 6.666…. Subtract x = 0.66666… to remove the repeating part: 9x = 6, so x = 69. Divide the top and bottom by 3: x = 23.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.66666…. The block 6 repeats, so multiply by 10: 10x = 6.666…. Subtract x = 0.66666… to remove the repeating part: 9x = 6, so x = 69. Divide the top and bottom by 3: x = 23.
💡 How to solve: Repeating Decimals to Fractions
Let x equal the decimal. Multiply by 10, 100 or 1000 so the repeating part lines up (one repeating digit: 10x, two digits: 100x), subtract x to remove the repeating part, then solve and simplify. For 0.2727…: 100x - x = 27, so 99x = 27 and x = 2799 = 311.
Try a similar one
Write 0.11111… as a fraction in lowest terms.
✓ 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
💡 Multiply the bottom first: add the exponents of m: 4 + 3 = 7. The bottom is m7. There are no numbers to divide. m: 4 on top and 7 on the bottom. The bottom has more: 7 − 4 = 3, so m3 goes on the bottom. So m4m4 · m3 = 1m3.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of m: 4 + 3 = 7. The bottom is m7. There are no numbers to divide. m: 4 on top and 7 on the bottom. The bottom has more: 7 − 4 = 3, so m3 goes on the bottom. So m4m4 · m3 = 1m3.
💡 How to solve: Simplifying Monomial Fractions with Products
First multiply the factors on the top and on the bottom: multiply the numbers and add the exponents of each letter, so 3x3 y3 · 2y = 6x3 y4. Then divide: simplify the numbers, and for each letter subtract the smaller exponent from the bigger one. The letter stays on whichever side had more. So y23x3 y3 · 2y = y26x3 y4 = 16x3 y2.
Try a similar one
y4y2 · y3 = ___
✓ 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 8 Quiz: Fractions — Easy Version 1
Answer every question. The lesson name before each question tells you which skill it checks — open that lesson if you need a reminder.