​$$\frac{3}{4}$$​ $$of$$​ $$\frac{5}{6} of \frac{7}{10}$$​ $$of$$​ 1664 = ?

Correct option is B

Given:

We are tasked to calculate:

$$\frac{3}{4} \times \frac{5}{6} \times \frac{7}{10} \times 1664$$​

Solution:

1. Simplify the fractions step by step:

Multiply the fractions:

$$\frac{3}{4} \times \frac{5}{6} \times \frac{7}{10}$$​

First, multiply the numerators:

$$3 \times 5 \times 7 = 105$$​

Then, multiply the denominators:

$$4 \times 6 \times 10 = 240$$​

The resulting fraction is:

$$\frac{105}{240}$$​

2. Simplify the fraction:

$$\frac{105}{240} = \frac{7}{16}$$​

3. Multiply the simplified fraction by 1664:

$$\frac{7}{16} \times 1664 = \frac{7 \times 1664}{16}$$​

4. Perform the multiplication and division:

$$7 \times 1664 = 11648$$​

$$\frac{11648}{16} = 728$$​