Solve 23/10div2/5

$$2 \frac{ 3 }{ 10 } \div \frac{ 2 }{ 5 }$$

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

Divide \frac{2\times 10+3}{10} by \frac{2}{5} by multiplying \frac{2\times 10+3}{10} by the reciprocal of \frac{2}{5}.

$$\frac{\left(2\times 10+3\right)\times 5}{10\times 2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3+2\times 10}{2\times 2}$$

Multiply 2 and 10 to get 20.

$$\frac{3+20}{2\times 2}$$

Add 3 and 20 to get 23.

$$\frac{23}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$