Solve 11/5*23/5

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

Evaluate

$$\frac{78}{25}=3.12$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+1}{5}\times \frac{2\times 5+3}{5}$$

Add 5 and 1 to get 6.

$$\frac{6}{5}\times \frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{6}{5}\times \frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{6}{5}\times \frac{13}{5}$$

Multiply \frac{6}{5} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 13}{5\times 5}$$

Do the multiplications in the fraction \frac{6\times 13}{5\times 5}.

$$\frac{78}{25}$$

Factor

$$\frac{2 \cdot 3 \cdot 13}{5 ^ {2}} = 3\frac{3}{25} = 3.12$$