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Dividing Rational Numbers — Easy Worksheet 2
Grade 7 · Whoobee Name: ____________________ Date: __________
Divide. Write fractions in simplest form and improper fractions as mixed numbers.
How to solve
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Example
(-1.2) ÷ 2 = ___
Answer: -0.6
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 2, flip it to 12 and multiply: 34 × 12. Multiply the numerators: 3 × 1 = 3. Multiply the denominators: 4 × 2 = 8. That gives 38. 38 is already in simplest form. So (−34) ÷ 2 = −38.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 2, flip it to 12 and multiply: 34 × 12. Multiply the numerators: 3 × 1 = 3. Multiply the denominators: 4 × 2 = 8. That gives 38. 38 is already in simplest form. So (−34) ÷ 2 = −38.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-25) ÷ 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 signs are different, so the quotient is negative. Now divide the sizes. To divide by 13, flip it to 31 and multiply: 2 × 31. Multiply the numerators: 2 × 3 = 6. Multiply the denominators: 1 × 1 = 1. That gives 61. 61 = 6 ÷ 1 = 6. So (−2) ÷ 13 = −6.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 13, flip it to 31 and multiply: 2 × 31. Multiply the numerators: 2 × 3 = 6. Multiply the denominators: 1 × 1 = 1. That gives 61. 61 = 6 ÷ 1 = 6. So (−2) ÷ 13 = −6.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-110) ÷ 7 = ___
✓ 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
💡 Both numbers are negative, so the quotient is positive. Now divide the sizes. To divide by 5, flip it to 15 and multiply: 12 × 15. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 2 × 5 = 10. That gives 110. 110 is already in simplest form. So (−12) ÷ (−5) = 110.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so the quotient is positive. Now divide the sizes. To divide by 5, flip it to 15 and multiply: 12 × 15. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 2 × 5 = 10. That gives 110. 110 is already in simplest form. So (−12) ÷ (−5) = 110.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-38) ÷ 7 = ___
✓ 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 signs are different, so the quotient is negative. Now divide the sizes. To divide by 16, flip it to 61 and multiply: 5 × 61. Multiply the numerators: 5 × 6 = 30. Multiply the denominators: 1 × 1 = 1. That gives 301. 301 = 30 ÷ 1 = 30. So 5 ÷ (−16) = −30.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 16, flip it to 61 and multiply: 5 × 61. Multiply the numerators: 5 × 6 = 30. Multiply the denominators: 1 × 1 = 1. That gives 301. 301 = 30 ÷ 1 = 30. So 5 ÷ (−16) = −30.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-12) ÷ 6 = ___
✓ 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 signs are different, so the quotient is negative. Now divide the sizes. To divide by 6, flip it to 16 and multiply: 56 × 16. Multiply the numerators: 5 × 1 = 5. Multiply the denominators: 6 × 6 = 36. That gives 536. 536 is already in simplest form. So 56 ÷ (−6) = −536.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 6, flip it to 16 and multiply: 56 × 16. Multiply the numerators: 5 × 1 = 5. Multiply the denominators: 6 × 6 = 36. That gives 536. 536 is already in simplest form. So 56 ÷ (−6) = −536.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-35) ÷ 3 = ___
✓ 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
💡 Both numbers are negative, so the quotient is positive. Now divide the sizes. To divide by 27, flip it to 72 and multiply: 8 × 72. Multiply the numerators: 8 × 7 = 56. Multiply the denominators: 1 × 2 = 2. That gives 562. 562 = 56 ÷ 2 = 28. So (−8) ÷ (−27) = 28.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so the quotient is positive. Now divide the sizes. To divide by 27, flip it to 72 and multiply: 8 × 72. Multiply the numerators: 8 × 7 = 56. Multiply the denominators: 1 × 2 = 2. That gives 562. 562 = 56 ÷ 2 = 28. So (−8) ÷ (−27) = 28.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-49) ÷ 9 = ___
✓ 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 signs are different, so the quotient is negative. Now divide the sizes. To divide by 9, flip it to 19 and multiply: 16 × 19. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 6 × 9 = 54. That gives 154. 154 is already in simplest form. So (−16) ÷ 9 = −154.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 9, flip it to 19 and multiply: 16 × 19. Multiply the numerators: 1 × 1 = 1. Multiply the denominators: 6 × 9 = 54. That gives 154. 154 is already in simplest form. So (−16) ÷ 9 = −154.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-13) ÷ 4 = ___
✓ 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 signs are different, so the quotient is negative. Now divide the sizes. To divide by 89, flip it to 98 and multiply: 9 × 98. Multiply the numerators: 9 × 9 = 81. Multiply the denominators: 1 × 8 = 8. That gives 818. 818 is more than 1: 81 ÷ 8 = 10 R 1, so 818 = 10 18. So (−9) ÷ 89 = −10 18.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. To divide by 89, flip it to 98 and multiply: 9 × 98. Multiply the numerators: 9 × 9 = 81. Multiply the denominators: 1 × 8 = 8. That gives 818. 818 is more than 1: 81 ÷ 8 = 10 R 1, so 818 = 10 18. So (−9) ÷ 89 = −10 18.
💡 How to solve: Dividing Rational Numbers
Divide as if both numbers were positive, then decide the sign: same signs give a positive answer, different signs give a negative one. Fractions: multiply by the reciprocal of the divisor: (-34) ÷ 12 = (-34) × 21 = -64 = -1 12. Decimals: move the decimal point in both numbers until the divisor is a whole number: (-1.25) ÷ 0.5 → (-12.5) ÷ 5 = -2.5. Mixed numbers: change them to improper fractions first: 2 12 ÷ (-1 14) = 52 × (-45) = -2.
Try a similar one
(-910) ÷ 2 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Dividing Rational Numbers — Easy Worksheet 2
Divide. Write fractions in simplest form and improper fractions as mixed numbers.