Chapter 7 — cumulative chapter review

Use the common denominator 4, then add the equal-size parts. The simplified result is 1 1/4.

Use the common denominator 3, then add the equal-size parts. The simplified result is 1 1/3.

Add the fractional parts with a common denominator. Include the original 2 wholes; regroup if their sum reaches a whole.

Combine wholes (1+3) and fractional parts (5/8+1/2); rename any extra whole.

Rename one whole as denominator-sized parts if needed. The remaining quantity is 4 1/2.

Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.

Use the common denominator 5, then add the equal-size parts. The simplified result is 1 3/5.

Use the common denominator 3, then add the equal-size parts. The simplified result is 1.

Add the fractional parts with a common denominator. Include the original 4 wholes; regroup if their sum reaches a whole.

Combine wholes (2+1) and fractional parts (1/2+1/3); rename any extra whole.

Rename one whole as denominator-sized parts if needed. The remaining quantity is 4.

Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.

Use the common denominator 10, then add the equal-size parts. The simplified result is 1 3/5.

Use the common denominator 5, then add the equal-size parts. The simplified result is 1 1/5.

Add the fractional parts with a common denominator. Include the original 5 wholes; regroup if their sum reaches a whole.

Combine wholes (3+1) and fractional parts (3/4+1/3); rename any extra whole.

Rename one whole as denominator-sized parts if needed. The remaining quantity is 1.

Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.

Use the common denominator 6, then add the equal-size parts. The simplified result is 5/6.

Use the common denominator 5, then add the equal-size parts. The simplified result is 1.

Add the fractional parts with a common denominator. Include the original 5 wholes; regroup if their sum reaches a whole.

Combine wholes (5+2) and fractional parts (3/5+4/5); rename any extra whole.

Rename one whole as denominator-sized parts if needed. The remaining quantity is 2 3/4.

Subtract whole quantities and equivalent fractional parts, borrowing one whole if the first fractional part is smaller.

Use the common denominator 8, then add the equal-size parts. The simplified result is 1/2.

Use the common denominator 3, then subtract the equal-size parts. The simplified result is 1/3.

Add the fractional parts with a common denominator. Include the original 2 wholes; regroup if their sum reaches a whole.

Both pieces are 10ths, so combine numerators and keep the denominator. The result is 9/10.

Use equal-size fractional parts with denominator 12; the correct sum is 1 1/12.

Convert 1/2 into 2/4 and combine with 1/4, keeping 2 whole units. The total is 2 3/4.

Combine 6 wholes and 3/6+4/6=7/6, regrouping one additional whole to reach 7 1/6.

Rename one whole as four fourths before subtracting; the correct difference is 2 1/2.

Exchange one whole for four fourths, then subtract the whole and fractional parts. The difference is 3 1/2.