Solve 1/3-1/5/1+frac{1{3}*1/5}

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

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{\frac{5}{15}-\frac{3}{15}}{1+\frac{1}{3}\times \frac{1}{5}}$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-3}{15}}{1+\frac{1}{3}\times \frac{1}{5}}$$

Subtract 3 from 5 to get 2.

$$\frac{\frac{2}{15}}{1+\frac{1}{3}\times \frac{1}{5}}$$

Multiply \frac{1}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2}{15}}{1+\frac{1\times 1}{3\times 5}}$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 5}.

$$\frac{\frac{2}{15}}{1+\frac{1}{15}}$$

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

$$\frac{\frac{2}{15}}{\frac{15}{15}+\frac{1}{15}}$$

Since \frac{15}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2}{15}}{\frac{15+1}{15}}$$

Add 15 and 1 to get 16.

$$\frac{\frac{2}{15}}{\frac{16}{15}}$$

Divide \frac{2}{15} by \frac{16}{15} by multiplying \frac{2}{15} by the reciprocal of \frac{16}{15}.

$$\frac{2}{15}\times \frac{15}{16}$$

Multiply \frac{2}{15} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 15}{15\times 16}$$

Cancel out 15 in both numerator and denominator.

$$\frac{2}{16}$$

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$