Question

Choose all the expressions that have 3/4 as a product.

A) 6/7 × 7/8
B) 7/8 × 9/10
C) 1/4 × 3/4
D) 4/5 × 3/12
E) 9/10 × 10/12

Answer 1

To find which expressions have a product of \( \frac{3}{4} \), we can evaluate each option individually by calculating their products.

A) \( \frac{6}{7} \times \frac{7}{8} = \frac{6 \times 7}{7 \times 8} = \frac{6}{8} = \frac{3}{4} \)

B) \( \frac{7}{8} \times \frac{9}{10} = \frac{7 \times 9}{8 \times 10} = \frac{63}{80} \)

C) \( \frac{1}{4} \times \frac{3}{4} = \frac{1 \times 3}{4 \times 4} = \frac{3}{16} \)

D) \( \frac{4}{5} \times \frac{3}{12} = \frac{4 \times 3}{5 \times 12} = \frac{12}{60} = \frac{1}{5} \)

E) \( \frac{9}{10} \times \frac{10}{12} = \frac{9 \times 10}{10 \times 12} = \frac{9}{12} = \frac{3}{4} \)

The expressions that have a product of \( \frac{3}{4} \) are:

- **A) \( \frac{6}{7} \times \frac{7}{8} \)**
- **E) \( \frac{9}{10} \times \frac{10}{12} \)**

So, the correct answers are A and E.