Curriculum›4A›Chapter 7

Practice A: Adding and Subtracting Fractions

Chapter 7 · Consolidation 1

Mixed consolidation. Attempt problems independently before revealing the solutions.

Question 1 · calculation

Calculate 2/3 − 1/6. Simplify.

Show answer & reasoning
1/2

Use the common denominator 6, then subtract the equal-size parts. The simplified result is 1/2.

Question 2 · calculation

Calculate 5/6 + 1/3. Simplify.

Show answer & reasoning
1 1/6

Use the common denominator 6, then add the equal-size parts. The simplified result is 1 1/6.

Question 3 · calculation

Calculate 5 3/4 + 3/4.

Show answer & reasoning
6 1/2

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

Question 4 · calculation

Calculate 1 1/3 + 4 1/3.

Show answer & reasoning
5 2/3

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

Question 5 · calculation

Calculate 1 1/2 − 1/4.

Show answer & reasoning
1 1/4

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

Question 6 · calculation

Calculate 3 3/4 − 1 1/2.

Show answer & reasoning
2 1/4

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

Question 7 · calculation

Calculate 7/8 − 1/4. Simplify.

Show answer & reasoning
5/8

Use the common denominator 8, then subtract the equal-size parts. The simplified result is 5/8.

Question 8 · calculation

Calculate 4/5 + 3/5. Simplify.

Show answer & reasoning
1 2/5

Use the common denominator 5, then add the equal-size parts. The simplified result is 1 2/5.

Question 9 · calculation

Calculate 5 3/5 + 4/5.

Show answer & reasoning
6 2/5

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

Question 10 · calculation

Calculate 2 2/3 + 4 1/3.

Show answer & reasoning
7

Combine wholes (2+4) and fractional parts (2/3+1/3); rename any extra whole.

Question 11 · calculation

Calculate 3 2/3 − 1/3.

Show answer & reasoning
3 1/3

Rename one whole as denominator-sized parts if needed. The remaining quantity is 3 1/3.

Question 12 · calculation

Calculate 1 1/3 − 1 1/3.

Show answer & reasoning
0

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

Question 13 · calculation

Calculate 3/4 − 1/2. Simplify.

Show answer & reasoning
1/4

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

Question 14 · calculation

Calculate 1/10 + 3/5. Simplify.

Show answer & reasoning
7/10

Use the common denominator 10, then add the equal-size parts. The simplified result is 7/10.

Question 15 · calculation

Calculate 1 1/6 + 2/3.

Show answer & reasoning
1 5/6

Add the fractional parts with a common denominator. Include the original 1 wholes; regroup if their sum reaches a whole.

Question 16 · calculation

Calculate 2 3/5 + 2 3/5.

Show answer & reasoning
5 1/5

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

Question 17 · calculation

Calculate 3 1/2 − 1/2.

Show answer & reasoning
3

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

Question 18 · calculation

Calculate 5 1/2 − 2 1/2.

Show answer & reasoning
3

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