$3\frac{1}{3}\times 5\frac{1}{5}\times 13\frac{11}{13}=?$

What will come in place of the question mark (?) in the following questions?

The correct option is 240.

To find the value that comes in place of the question mark (?), follow these step-by-step calculations:

Step 1: Convert each mixed fraction into an improper fraction.

$3\frac{1}{3}=\frac{(3\times 3)+1}{3}=\frac{10}{3}$

$5\frac{1}{5}=\frac{(5\times 5)+1}{5}=\frac{26}{5}$

$13\frac{11}{13}=\frac{(13\times 13)+11}{13}=\frac{180}{13}$

Step 2: Multiply the improper fractions together.

$?=\frac{10}{3}\times \frac{26}{5}\times \frac{180}{13}$

Step 3: Simplify by canceling common factors in the numerators and denominators.

• Divide 10 by 5: $\frac{10}{5}=2$

• Divide 26 by 13: $\frac{26}{13}=2$

• Divide 180 by 3: $\frac{180}{3}=60$

Now, multiply the simplified factors together:

$?=2\times 2\times 60=240$

Thus, the correct value in place of (?) is 240.