Solve 8/3:6/5-13/18

$$\frac { 8 } { 3 } : \frac { 6 } { 5 } - \frac { 13 } { 18 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide \frac{8}{3} by \frac{6}{5} by multiplying \frac{8}{3} by the reciprocal of \frac{6}{5}.

$$\frac{8}{3}\times \frac{5}{6}-\frac{13}{18}$$

Multiply \frac{8}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{3\times 6}-\frac{13}{18}$$

Do the multiplications in the fraction \frac{8\times 5}{3\times 6}.

$$\frac{40}{18}-\frac{13}{18}$$

Since \frac{40}{18} and \frac{13}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-13}{18}$$

Subtract 13 from 40 to get 27.

$$\frac{27}{18}$$

Reduce the fraction \frac{27}{18} to lowest terms by extracting and canceling out 9.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$