Solve 21div(13/4*2/9)

$$21 \div ( 1 \frac { 3 } { 4 } \times \frac { 2 } { 9 } )$$

Evaluate

$$54$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{21}{\frac{4+3}{4}\times \frac{2}{9}}$$

Add 4 and 3 to get 7.

$$\frac{21}{\frac{7}{4}\times \frac{2}{9}}$$

Multiply \frac{7}{4} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{\frac{7\times 2}{4\times 9}}$$

Do the multiplications in the fraction \frac{7\times 2}{4\times 9}.

$$\frac{21}{\frac{14}{36}}$$

Reduce the fraction \frac{14}{36} to lowest terms by extracting and canceling out 2.

$$\frac{21}{\frac{7}{18}}$$

Divide 21 by \frac{7}{18} by multiplying 21 by the reciprocal of \frac{7}{18}.

$$21\times \frac{18}{7}$$

Express 21\times \frac{18}{7} as a single fraction.

$$\frac{21\times 18}{7}$$

Multiply 21 and 18 to get 378.

$$\frac{378}{7}$$

Divide 378 by 7 to get 54.

$$54$$

Factor

$$2\times 3^{3}$$