Solve 1/3div3/5div1/5=25/9

$$\frac { 1 } { 3 } \div \frac { 3 } { 5 } \div \frac { 1 } { 5 } = \frac { 25 } { 9 }$$

Verify

Solution Steps

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

$$\frac{\frac{1}{3}\times 5}{\frac{3}{5}}=\frac{25}{9}$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$\frac{\frac{5}{3}}{\frac{3}{5}}=\frac{25}{9}$$

Divide \frac{5}{3} by \frac{3}{5} by multiplying \frac{5}{3} by the reciprocal of \frac{3}{5}.

$$\frac{5}{3}\times \frac{5}{3}=\frac{25}{9}$$

Multiply \frac{5}{3} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{3\times 3}=\frac{25}{9}$$

Do the multiplications in the fraction \frac{5\times 5}{3\times 3}.

$$\frac{25}{9}=\frac{25}{9}$$

Compare \frac{25}{9} and \frac{25}{9}.

$$\text{true}$$