Solve using a tape diagram: 3/4 + 1/8.

Solve using a tape diagram: 3/4 + 1/8.

• A. 1
• B. 1/2
• C. 5/8
• D. 7/8

Answer: (D)

Using a tape diagram, combine fractions by matching to a common unit. Take a strip divided into 8 equal parts. Three quarters can be seen as six of those eighths, since each quarter equals two eighths. The additional one eighth adds one more eighth, giving a total of seven eighths. So the sum is seven-eighths, which is written as 7/8. This is less than a whole, confirming it’s not equal to 1, not equal to 1/2, and not equal to 5/8.

Using a tape diagram, combine fractions by matching to a common unit. Take a strip divided into 8 equal parts. Three quarters can be seen as six of those eighths, since each quarter equals two eighths. The additional one eighth adds one more eighth, giving a total of seven eighths. So the sum is seven-eighths, which is written as 7/8. This is less than a whole, confirming it’s not equal to 1, not equal to 1/2, and not equal to 5/8.