Multiply: 7/16 x 2 2/7, reduced to lowest terms

Multiply: 7/16 x 2 2/7, reduced to lowest terms

A.
2 9/23

B.
5/9

C.
2 14/112

D.
1

To multiply the fractions 716\frac{7}{16}167​ and 2272 \frac{2}{7}272​, follow these steps:

1. Convert the mixed number 2272 \frac{2}{7}272​ to an improper fraction: 227=2×7+27=14+27=1672 \frac{2}{7} = \frac{2 \times 7 + 2}{7} = \frac{14 + 2}{7} = \frac{16}{7}272​=72×7+2​=714+2​=716​
2. Multiply the fractions: 716×167=7×1616×7=112112=1\frac{7}{16} \times \frac{16}{7} = \frac{7 \times 16}{16 \times 7} = \frac{112}{112} = 1167​×716​=16×77×16​=112112​=1

So, the result of the multiplication is:

D. 1