Solve 21div13/4div22/9

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

Evaluate

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

Solution Steps

Divide \frac{21}{\frac{1\times 4+3}{4}} by \frac{2\times 9+2}{9} by multiplying \frac{21}{\frac{1\times 4+3}{4}} by the reciprocal of \frac{2\times 9+2}{9}.

$$\frac{21\times 9}{\frac{1\times 4+3}{4}\left(2\times 9+2\right)}$$

Multiply 21 and 9 to get 189.

$$\frac{189}{\frac{1\times 4+3}{4}\left(2\times 9+2\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{189}{\frac{4+3}{4}\left(2\times 9+2\right)}$$

Add 4 and 3 to get 7.

$$\frac{189}{\frac{7}{4}\left(2\times 9+2\right)}$$

Multiply 2 and 9 to get 18.

$$\frac{189}{\frac{7}{4}\left(18+2\right)}$$

Add 18 and 2 to get 20.

$$\frac{189}{\frac{7}{4}\times 20}$$

Express \frac{7}{4}\times 20 as a single fraction.

$$\frac{189}{\frac{7\times 20}{4}}$$

Multiply 7 and 20 to get 140.

$$\frac{189}{\frac{140}{4}}$$

Divide 140 by 4 to get 35.

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

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

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

Factor

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