Solve 16/63div1/4*7/16

$$\frac { 16 } { 63 } \div \frac { 1 } { 4 } \times \frac { 7 } { 16 }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Divide \frac{16}{63} by \frac{1}{4} by multiplying \frac{16}{63} by the reciprocal of \frac{1}{4}.

$$\frac{16}{63}\times 4\times \frac{7}{16}$$

Express \frac{16}{63}\times 4 as a single fraction.

$$\frac{16\times 4}{63}\times \frac{7}{16}$$

Multiply 16 and 4 to get 64.

$$\frac{64}{63}\times \frac{7}{16}$$

Multiply \frac{64}{63} times \frac{7}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 7}{63\times 16}$$

Do the multiplications in the fraction \frac{64\times 7}{63\times 16}.

$$\frac{448}{1008}$$

Reduce the fraction \frac{448}{1008} to lowest terms by extracting and canceling out 112.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$