Solve 21div(13/4*22/9)

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

Evaluate

$$\frac{27}{5}=5.4$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

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

Multiply 2 and 9 to get 18.

$$\frac{21}{\frac{7}{4}\times \frac{18+2}{9}}$$

Add 18 and 2 to get 20.

$$\frac{21}{\frac{7}{4}\times \frac{20}{9}}$$

Multiply \frac{7}{4} times \frac{20}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{\frac{7\times 20}{4\times 9}}$$

Do the multiplications in the fraction \frac{7\times 20}{4\times 9}.

$$\frac{21}{\frac{140}{36}}$$

Reduce the fraction \frac{140}{36} to lowest terms by extracting and canceling out 4.

$$\frac{21}{\frac{35}{9}}$$

Divide 21 by \frac{35}{9} by multiplying 21 by the reciprocal of \frac{35}{9}.

$$21\times \frac{9}{35}$$

Express 21\times \frac{9}{35} as a single fraction.

$$\frac{21\times 9}{35}$$

Multiply 21 and 9 to get 189.

$$\frac{189}{35}$$

Reduce the fraction \frac{189}{35} to lowest terms by extracting and canceling out 7.

$$\frac{27}{5}$$

Factor

$$\frac{3 ^ {3}}{5} = 5\frac{2}{5} = 5.4$$