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Grade 8 Quiz: Fractions — Easy Version 2
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
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of x: 1 + 5 = 6. The bottom is 4x6. The numbers 14 don't simplify, so 1 stays on top and 4 on the bottom. x: 3 on top and 6 on the bottom. The bottom has more: 6 − 3 = 3, so x3 goes on the bottom. So x34x · x5 = 14x3.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of x: 1 + 5 = 6. The bottom is 4x6. The numbers 14 don't simplify, so 1 stays on top and 4 on the bottom. x: 3 on top and 6 on the bottom. The bottom has more: 6 − 3 = 3, so x3 goes on the bottom. So x34x · x5 = 14x3.
💡 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
5b2 · 4b6b4 = ___
✓ 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 = 0.77777…. The block 7 repeats, so multiply by 10: 10x = 7.777…. Subtract x = 0.77777… to remove the repeating part: 9x = 7, so x = 79. This is already in lowest terms, so the answer is 79.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.77777…. The block 7 repeats, so multiply by 10: 10x = 7.777…. Subtract x = 0.77777… to remove the repeating part: 9x = 7, so x = 79. This is already in lowest terms, so the answer is 79.
💡 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 0.2828… 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 + 3 = 4. The bottom is 6a4. The numbers 16 don't simplify, so 1 stays on top and 6 on the bottom. a: 1 on top and 4 on the bottom. The bottom has more: 4 − 1 = 3, so a3 goes on the bottom. So a6a · a3 = 16a3.
✓ 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 + 3 = 4. The bottom is 6a4. The numbers 16 don't simplify, so 1 stays on top and 6 on the bottom. a: 1 on top and 4 on the bottom. The bottom has more: 4 − 1 = 3, so a3 goes on the bottom. So a6a · a3 = 16a3.
💡 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
y26y5 · 2y3 = ___
✓ 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 = 0.22222…. The block 2 repeats, so multiply by 10: 10x = 2.222…. Subtract x = 0.22222… to remove the repeating part: 9x = 2, so x = 29. This is already in lowest terms, so the answer is 29.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.22222…. The block 2 repeats, so multiply by 10: 10x = 2.222…. Subtract x = 0.22222… to remove the repeating part: 9x = 2, so x = 29. This is already in lowest terms, so the answer is 29.
💡 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 0.44444… 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: multiply the numbers: 4 × 4 = 16, and add the exponents of a: 2 + 4 = 6. The bottom is 16a6. The numbers 116 don't simplify, so 1 stays on top and 16 on the bottom. a: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so a goes on the bottom. So a54a2 · 4a4 = 116a.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: multiply the numbers: 4 × 4 = 16, and add the exponents of a: 2 + 4 = 6. The bottom is 16a6. The numbers 116 don't simplify, so 1 stays on top and 16 on the bottom. a: 5 on top and 6 on the bottom. The bottom has more: 6 − 5 = 1, so a goes on the bottom. So a54a2 · 4a4 = 116a.
💡 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
m3m5 · 5m4 = ___
✓ 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 = 0.5050…. The block 50 repeats, so multiply by 100: 100x = 50.505050…. Subtract x = 0.5050… to remove the repeating part: 99x = 50, so x = 5099. This is already in lowest terms, so the answer is 5099.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.5050…. The block 50 repeats, so multiply by 100: 100x = 50.505050…. Subtract x = 0.5050… to remove the repeating part: 99x = 50, so x = 5099. This is already in lowest terms, so the answer is 5099.
💡 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 0.4747… 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 n: 4 + 4 = 8. The bottom is 2n8. The numbers 12 don't simplify, so 1 stays on top and 2 on the bottom. n: 5 on top and 8 on the bottom. The bottom has more: 8 − 5 = 3, so n3 goes on the bottom. So n52n4 · n4 = 12n3.
✓ Correct!
Not quite. The answer is
💡 Multiply the bottom first: add the exponents of n: 4 + 4 = 8. The bottom is 2n8. The numbers 12 don't simplify, so 1 stays on top and 2 on the bottom. n: 5 on top and 8 on the bottom. The bottom has more: 8 − 5 = 3, so n3 goes on the bottom. So n52n4 · n4 = 12n3.
💡 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
n5n2 · 6n5 = ___
✓ 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 0.3232… 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 y: 2 + 3 = 5. The bottom is 3y5. The numbers 13 don't simplify, so 1 stays on top and 3 on the bottom. y: 1 on top and 5 on the bottom. The bottom has more: 5 − 1 = 4, so y4 goes on the bottom. So yy2 · 3y3 = 13y4.
✓ Correct!
Not quite. The answer is
💡 A letter with no exponent written has exponent 1. Multiply the bottom first: add the exponents of y: 2 + 3 = 5. The bottom is 3y5. The numbers 13 don't simplify, so 1 stays on top and 3 on the bottom. y: 1 on top and 5 on the bottom. The bottom has more: 5 − 1 = 4, so y4 goes on the bottom. So yy2 · 3y3 = 13y4.
💡 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
m52m4 · 5m5 = ___
✓ 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 = 0.33333…. The block 3 repeats, so multiply by 10: 10x = 3.333…. Subtract x = 0.33333… to remove the repeating part: 9x = 3, so x = 39. Divide the top and bottom by 3: x = 13.
✓ Correct!
Not quite. The answer is
💡 Let x = 0.33333…. The block 3 repeats, so multiply by 10: 10x = 3.333…. Subtract x = 0.33333… to remove the repeating part: 9x = 3, so x = 39. Divide the top and bottom by 3: x = 13.
💡 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 0.8484… 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.
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Grade 8 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.