Question

What is 1 & 5/7 times 2 & 3/4

Answer 1

The solution of $1\frac{5}{7} \times 2\frac{3}{4}$ is $\frac{33}{7} \text{ or } 4.714$

Solution:

Given that we have to find the solution of given expression

Given expression is:

$1\frac{5}{7} \times 2\frac{3}{4}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$1\frac{5}{7} = \frac{1 \times 7+5}{5} = \frac{12}{5}$

$2\frac{3}{4} = \frac{2 \times 4+3}{4}=\frac{11}{4}$

Now the expression becomes,

$1\frac{5}{7} \times 2\frac{3}{4} = \frac{12}{7} \times \frac{11}{4}$

Solve and simplify the above expression

$1\frac{5}{7} \times 2\frac{3}{4} = \frac{12}{7} \times \frac{11}{4} = \frac{33}{7}\\\\1\frac{5}{7} \times 2\frac{3}{4} = \frac{33}{7}$

In decimal form we get,

$\frac{33}{7}=4.714$

Thus the solution to given expression is found