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Adding Rational Numbers — Easy Worksheet 2
Grade 7 · Whoobee Name: ____________________ Date: __________
Add. Write fractions in simplest form and improper fractions as mixed numbers.
How to solve
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Example
(-6.5) + 5.2 = ___
Answer: -1.3
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 910 − 110 = 810. −910 is farther from 0, so the answer is negative: (−910) + 110 = −810. Simplify: divide the top and the bottom by 2: −810 = −45. So (−910) + 110 = −45.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 910 − 110 = 810. −910 is farther from 0, so the answer is negative: (−910) + 110 = −810. Simplify: divide the top and the bottom by 2: −810 = −45. So (−910) + 110 = −45.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-14) + 34 = ___
✓ 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 subtract the smaller size from the larger: 712 − 112 = 612. −712 is farther from 0, so the answer is negative: 112 + (−712) = −612. Simplify: divide the top and the bottom by 6: −612 = −12. So 112 + (−712) = −12.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 712 − 112 = 612. −712 is farther from 0, so the answer is negative: 112 + (−712) = −612. Simplify: divide the top and the bottom by 6: −612 = −12. So 112 + (−712) = −12.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-110) + 310 = ___
✓ 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 add the sizes, 23 + 23 = 43, and keep the minus sign: (−23) + (−23) = −43. 43 is more than 1: 4 ÷ 3 = 1 R 1, so −43 = −1 13. So (−23) + (−23) = −1 13.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so add the sizes, 23 + 23 = 43, and keep the minus sign: (−23) + (−23) = −43. 43 is more than 1: 4 ÷ 3 = 1 R 1, so −43 = −1 13. So (−23) + (−23) = −1 13.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-14) + 34 = ___
✓ 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 subtract the smaller size from the larger: 59 − 19 = 49. 59 is farther from 0, so the answer is positive: (−19) + 59 = 49.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 59 − 19 = 49. 59 is farther from 0, so the answer is positive: (−19) + 59 = 49.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-411) + 911 = ___
✓ 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 subtract the smaller size from the larger: 59 − 29 = 39. −59 is farther from 0, so the answer is negative: 29 + (−59) = −39. Simplify: divide the top and the bottom by 3: −39 = −13. So 29 + (−59) = −13.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 59 − 29 = 39. −59 is farther from 0, so the answer is negative: 29 + (−59) = −39. Simplify: divide the top and the bottom by 3: −39 = −13. So 29 + (−59) = −13.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-27) + 57 = ___
✓ 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 add the sizes, 112 + 1112 = 1212, and keep the minus sign: (−112) + (−1112) = −1212. −1212 = −1. So (−112) + (−1112) = −1.
✓ Correct!
Not quite. The answer is
💡 Both numbers are negative, so add the sizes, 112 + 1112 = 1212, and keep the minus sign: (−112) + (−1112) = −1212. −1212 = −1. So (−112) + (−1112) = −1.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-710) + 110 = ___
✓ 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 subtract the smaller size from the larger: 35 − 25 = 15. −35 is farther from 0, so the answer is negative: (−35) + 25 = −15.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 35 − 25 = 15. −35 is farther from 0, so the answer is negative: (−35) + 25 = −15.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-16) + 56 = ___
✓ 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 subtract the smaller size from the larger: 811 − 311 = 511. −811 is farther from 0, so the answer is negative: 311 + (−811) = −511.
✓ Correct!
Not quite. The answer is
💡 The signs are different, so subtract the smaller size from the larger: 811 − 311 = 511. −811 is farther from 0, so the answer is negative: 311 + (−811) = −511.
💡 How to solve: Adding Rational Numbers
Use the integer rules. Same signs: add the sizes and keep the sign, (-1.4) + (-2.3) = -3.7. Different signs: subtract the smaller size from the larger and take the sign of the larger, (-34) + 13 → (-912) + 412 = -512. With fractions, first rewrite them with a common denominator; with mixed numbers it can help to change them to improper fractions: (-2 12) + 1 13 = (-156) + 86 = -76 = -1 16.
Try a similar one
(-25) + 15 = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Adding Rational Numbers — Easy Worksheet 2
Add. Write fractions in simplest form and improper fractions as mixed numbers.