Question

Find the value of $3\frac{4}{7}\times 2\frac{2}{5}\times 1\frac{3}{4}.$

• A. 1
• B. 5
• C. 10
• D. 15

Answer 1

The correct option is D

15

To find the value, we will convert the mixed fractions to improper fractions.

$3\frac{4}{7}\times 2\frac{2}{5}\times 1\frac{3}{4}=\frac{21+4}{7}\times \frac{10+2}{5}\times \frac{4+3}{4}$

$=\frac{25}{7}\times \frac{12}{5}\times \frac{7}{4}$

$=\frac{25\times 12}{7\times 5}\times \frac{7}{4}$

$=\frac{300}{35}\times \frac{7}{4}$

$=\frac{75}{5}$

$=15$