Solve 27/8div9/47

$$\frac { 27 } { 8 } \div \frac { 9 } { 47 }$$

Evaluate

$$\frac{141}{8}=17.625$$

Solution Steps

Divide \frac{27}{8} by \frac{9}{47} by multiplying \frac{27}{8} by the reciprocal of \frac{9}{47}.

$$\frac{27}{8}\times \frac{47}{9}$$

Multiply \frac{27}{8} times \frac{47}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 47}{8\times 9}$$

Do the multiplications in the fraction \frac{27\times 47}{8\times 9}.

$$\frac{1269}{72}$$

Reduce the fraction \frac{1269}{72} to lowest terms by extracting and canceling out 9.

$$\frac{141}{8}$$

Factor

$$\frac{3 \cdot 47}{2 ^ {3}} = 17\frac{5}{8} = 17.625$$