Solve 3/5div21/2=6/25

$$\frac { 3 } { 5 } \div 2 \frac { 1 } { 2 } = 6 / 25$$

Verify

Solution Steps

Divide \frac{3}{5} by \frac{2\times 2+1}{2} by multiplying \frac{3}{5} by the reciprocal of \frac{2\times 2+1}{2}.

$$\frac{3\times 2}{5\left(2\times 2+1\right)}=\frac{6}{25}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{5\left(2\times 2+1\right)}=\frac{6}{25}$$

Multiply 2 and 2 to get 4.

$$\frac{6}{5\left(4+1\right)}=\frac{6}{25}$$

Add 4 and 1 to get 5.

$$\frac{6}{5\times 5}=\frac{6}{25}$$

Multiply 5 and 5 to get 25.

$$\frac{6}{25}=\frac{6}{25}$$

Compare \frac{6}{25} and \frac{6}{25}.

$$\text{true}$$