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Dividing Rational Numbers — Easy Worksheet 1
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. Divide as whole numbers: 5 ÷ 5 = 1. 0.5 has 1 decimal place, so the quotient does too: 0.1. So (−0.5) ÷ 5 = −0.1.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 5 ÷ 5 = 1. 0.5 has 1 decimal place, so the quotient does too: 0.1. So (−0.5) ÷ 5 = −0.1.
💡 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
(-5.6) ÷ 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. Divide as whole numbers: 81 ÷ 9 = 9. 8.1 has 1 decimal place, so the quotient does too: 0.9. So 8.1 ÷ (−9) = −0.9.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 81 ÷ 9 = 9. 8.1 has 1 decimal place, so the quotient does too: 0.9. So 8.1 ÷ (−9) = −0.9.
💡 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
(-4.2) ÷ 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. Divide as whole numbers: 42 ÷ 6 = 7. 4.2 has 1 decimal place, so the quotient does too: 0.7. So (−4.2) ÷ (−6) = 0.7.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so the quotient is positive. Now divide the sizes. Divide as whole numbers: 42 ÷ 6 = 7. 4.2 has 1 decimal place, so the quotient does too: 0.7. So (−4.2) ÷ (−6) = 0.7.
💡 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
(-5.4) ÷ 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
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 102 ÷ 6 = 17. 10.2 has 1 decimal place, so the quotient does too: 1.7. So (−10.2) ÷ 6 = −1.7.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 102 ÷ 6 = 17. 10.2 has 1 decimal place, so the quotient does too: 1.7. So (−10.2) ÷ 6 = −1.7.
💡 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
(-8.8) ÷ 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. Divide as whole numbers: 114 ÷ 6 = 19. 11.4 has 1 decimal place, so the quotient does too: 1.9. So 11.4 ÷ (−6) = −1.9.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 114 ÷ 6 = 19. 11.4 has 1 decimal place, so the quotient does too: 1.9. So 11.4 ÷ (−6) = −1.9.
💡 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
(-4.5) ÷ 5 = ___
✓ 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. Divide as whole numbers: 39 ÷ 3 = 13. 3.9 has 1 decimal place, so the quotient does too: 1.3. So (−3.9) ÷ (−3) = 1.3.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so the quotient is positive. Now divide the sizes. Divide as whole numbers: 39 ÷ 3 = 13. 3.9 has 1 decimal place, so the quotient does too: 1.3. So (−3.9) ÷ (−3) = 1.3.
💡 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
(-6.3) ÷ 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. Divide as whole numbers: 135 ÷ 9 = 15. 13.5 has 1 decimal place, so the quotient does too: 1.5. So (−13.5) ÷ 9 = −1.5.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 135 ÷ 9 = 15. 13.5 has 1 decimal place, so the quotient does too: 1.5. So (−13.5) ÷ 9 = −1.5.
💡 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
(-3.2) ÷ 2 = ___
✓ 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. Divide as whole numbers: 135 ÷ 9 = 15. 13.5 has 1 decimal place, so the quotient does too: 1.5. So 13.5 ÷ (−9) = −1.5.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so the quotient is negative. Now divide the sizes. Divide as whole numbers: 135 ÷ 9 = 15. 13.5 has 1 decimal place, so the quotient does too: 1.5. So 13.5 ÷ (−9) = −1.5.
💡 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
(-2.1) ÷ 3 = ___
✓ 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 1
Divide. Write fractions in simplest form and improper fractions as mixed numbers.