Solve 42/56div58-42/16

$$\frac { 42 } { 56 } \div \frac { 58 - 42 } { 16 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Divide \frac{42}{56} by \frac{58-42}{16} by multiplying \frac{42}{56} by the reciprocal of \frac{58-42}{16}.

$$\frac{42\times 16}{56\left(58-42\right)}$$

Cancel out 4\times 14 in both numerator and denominator.

$$\frac{3\times 4}{58-42}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{58-42}$$

Subtract 42 from 58 to get 16.

$$\frac{12}{16}$$

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$