Solve 121/4div22/3div21

$$12 \frac { 1 } { 4 } \div 2 \frac { 2 } { 3 } \div 21$$

Evaluate

$$\frac{7}{32}=0.21875$$

Solution Steps

Express \frac{\frac{\frac{12\times 4+1}{4}}{\frac{2\times 3+2}{3}}}{21} as a single fraction.

$$\frac{\frac{12\times 4+1}{4}}{\frac{2\times 3+2}{3}\times 21}$$

Multiply 12 and 4 to get 48.

$$\frac{\frac{48+1}{4}}{\frac{2\times 3+2}{3}\times 21}$$

Add 48 and 1 to get 49.

$$\frac{\frac{49}{4}}{\frac{2\times 3+2}{3}\times 21}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{49}{4}}{\frac{6+2}{3}\times 21}$$

Add 6 and 2 to get 8.

$$\frac{\frac{49}{4}}{\frac{8}{3}\times 21}$$

Express \frac{8}{3}\times 21 as a single fraction.

$$\frac{\frac{49}{4}}{\frac{8\times 21}{3}}$$

Multiply 8 and 21 to get 168.

$$\frac{\frac{49}{4}}{\frac{168}{3}}$$

Divide 168 by 3 to get 56.

$$\frac{\frac{49}{4}}{56}$$

Express \frac{\frac{49}{4}}{56} as a single fraction.

$$\frac{49}{4\times 56}$$

Multiply 4 and 56 to get 224.

$$\frac{49}{224}$$

Reduce the fraction \frac{49}{224} to lowest terms by extracting and canceling out 7.

$$\frac{7}{32}$$

Factor

$$\frac{7}{2 ^ {5}} = 0.21875$$