Practice A: Adding and Subtracting Fractions
Chapter 7 · Consolidation 1
Mixed consolidation. Attempt problems independently before revealing the solutions.
Calculate 2/3 − 1/6. Simplify.
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Use the common denominator 6, then subtract the equal-size parts. The simplified result is 1/2.
Calculate 5/6 + 1/3. Simplify.
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Use the common denominator 6, then add the equal-size parts. The simplified result is 1 1/6.
Calculate 5 3/4 + 3/4.
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Add the fractional parts with a common denominator. Include the original 5 wholes; regroup if their sum reaches a whole.
Calculate 1 1/3 + 4 1/3.
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Combine wholes (1+4) and fractional parts (1/3+1/3); rename any extra whole.
Calculate 1 1/2 − 1/4.
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Rename one whole as denominator-sized parts if needed. The remaining quantity is 1 1/4.
Calculate 3 3/4 − 1 1/2.
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Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.
Calculate 7/8 − 1/4. Simplify.
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Use the common denominator 8, then subtract the equal-size parts. The simplified result is 5/8.
Calculate 4/5 + 3/5. Simplify.
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Use the common denominator 5, then add the equal-size parts. The simplified result is 1 2/5.
Calculate 5 3/5 + 4/5.
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Add the fractional parts with a common denominator. Include the original 5 wholes; regroup if their sum reaches a whole.
Calculate 2 2/3 + 4 1/3.
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Combine wholes (2+4) and fractional parts (2/3+1/3); rename any extra whole.
Calculate 3 2/3 − 1/3.
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Rename one whole as denominator-sized parts if needed. The remaining quantity is 3 1/3.
Calculate 1 1/3 − 1 1/3.
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Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.
Calculate 3/4 − 1/2. Simplify.
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Use the common denominator 4, then subtract the equal-size parts. The simplified result is 1/4.
Calculate 1/10 + 3/5. Simplify.
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Use the common denominator 10, then add the equal-size parts. The simplified result is 7/10.
Calculate 1 1/6 + 2/3.
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Add the fractional parts with a common denominator. Include the original 1 wholes; regroup if their sum reaches a whole.
Calculate 2 3/5 + 2 3/5.
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Combine wholes (2+2) and fractional parts (3/5+3/5); rename any extra whole.
Calculate 3 1/2 − 1/2.
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Rename one whole as denominator-sized parts if needed. The remaining quantity is 3.
Calculate 5 1/2 − 2 1/2.
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Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.