Solve 7/8*4/15-7/15*4/8

$$\frac { 7 } { 8 } \times \frac { 4 } { 15 } - \frac { 7 } { 15 } \times \frac { 4 } { 8 }$$

Evaluate

$$0$$

Solution Steps

Multiply \frac{7}{8} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{8\times 15}-\frac{7}{15}\times \frac{4}{8}$$

Do the multiplications in the fraction \frac{7\times 4}{8\times 15}.

$$\frac{28}{120}-\frac{7}{15}\times \frac{4}{8}$$

Reduce the fraction \frac{28}{120} to lowest terms by extracting and canceling out 4.

$$\frac{7}{30}-\frac{7}{15}\times \frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{7}{30}-\frac{7}{15}\times \frac{1}{2}$$

Multiply \frac{7}{15} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{30}-\frac{7\times 1}{15\times 2}$$

Do the multiplications in the fraction \frac{7\times 1}{15\times 2}.

$$\frac{7}{30}-\frac{7}{30}$$

Subtract \frac{7}{30} from \frac{7}{30} to get 0.

$$0$$

Factor

$$0$$