Solve 42/4:21/4

$$4 \frac { 2 } { 4 } : \frac { 21 } { 4 }$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Divide \frac{4\times 4+2}{4} by \frac{21}{4} by multiplying \frac{4\times 4+2}{4} by the reciprocal of \frac{21}{4}.

$$\frac{\left(4\times 4+2\right)\times 4}{4\times 21}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2+4\times 4}{21}$$

Multiply 4 and 4 to get 16.

$$\frac{2+16}{21}$$

Add 2 and 16 to get 18.

$$\frac{18}{21}$$

Reduce the fraction \frac{18}{21} to lowest terms by extracting and canceling out 3.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$