Solve 3/5/1-frac{8{15}}

$$\frac { \frac { 3 } { 5 } } { 1 - \frac { 8 } { 15 } }$$

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Convert 1 to fraction \frac{15}{15}.

$$\frac{\frac{3}{5}}{\frac{15}{15}-\frac{8}{15}}$$

Since \frac{15}{15} and \frac{8}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3}{5}}{\frac{15-8}{15}}$$

Subtract 8 from 15 to get 7.

$$\frac{\frac{3}{5}}{\frac{7}{15}}$$

Divide \frac{3}{5} by \frac{7}{15} by multiplying \frac{3}{5} by the reciprocal of \frac{7}{15}.

$$\frac{3}{5}\times \frac{15}{7}$$

Multiply \frac{3}{5} times \frac{15}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 15}{5\times 7}$$

Do the multiplications in the fraction \frac{3\times 15}{5\times 7}.

$$\frac{45}{35}$$

Reduce the fraction \frac{45}{35} to lowest terms by extracting and canceling out 5.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$