Solve 21/4div31/8

$$2 \frac { 1 } { 4 } \div 3 \frac { 1 } { 8 }$$

Evaluate

$$\frac{18}{25}=0.72$$

Solution Steps

Divide \frac{2\times 4+1}{4} by \frac{3\times 8+1}{8} by multiplying \frac{2\times 4+1}{4} by the reciprocal of \frac{3\times 8+1}{8}.

$$\frac{\left(2\times 4+1\right)\times 8}{4\left(3\times 8+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(1+2\times 4\right)}{1+3\times 8}$$

Multiply 2 and 4 to get 8.

$$\frac{2\left(1+8\right)}{1+3\times 8}$$

Add 1 and 8 to get 9.

$$\frac{2\times 9}{1+3\times 8}$$

Multiply 2 and 9 to get 18.

$$\frac{18}{1+3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{18}{1+24}$$

Add 1 and 24 to get 25.

$$\frac{18}{25}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 ^ {2}} = 0.72$$