Solve 13/50div[1/2*(6/5-1/3)]

$$\frac { 13 } { 50 } \div [ \frac { 1 } { 2 } \times ( \frac { 6 } { 5 } - \frac { 1 } { 3 } ) ]$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{6}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{\frac{13}{50}}{\frac{1}{2}\left(\frac{18}{15}-\frac{5}{15}\right)}$$

Since \frac{18}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{13}{50}}{\frac{1}{2}\times \frac{18-5}{15}}$$

Subtract 5 from 18 to get 13.

$$\frac{\frac{13}{50}}{\frac{1}{2}\times \frac{13}{15}}$$

Multiply \frac{1}{2} times \frac{13}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{13}{50}}{\frac{1\times 13}{2\times 15}}$$

Do the multiplications in the fraction \frac{1\times 13}{2\times 15}.

$$\frac{\frac{13}{50}}{\frac{13}{30}}$$

Divide \frac{13}{50} by \frac{13}{30} by multiplying \frac{13}{50} by the reciprocal of \frac{13}{30}.

$$\frac{13}{50}\times \frac{30}{13}$$

Multiply \frac{13}{50} times \frac{30}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 30}{50\times 13}$$

Cancel out 13 in both numerator and denominator.

$$\frac{30}{50}$$

Reduce the fraction \frac{30}{50} to lowest terms by extracting and canceling out 10.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$