Solve 21/12div43/8

$$2 \frac { 1 } { 12 } \div 4 \frac { 3 } { 8 }$$

Evaluate

$$\frac{10}{21}\approx 0.476190476$$

Solution Steps

Divide \frac{2\times 12+1}{12} by \frac{4\times 8+3}{8} by multiplying \frac{2\times 12+1}{12} by the reciprocal of \frac{4\times 8+3}{8}.

$$\frac{\left(2\times 12+1\right)\times 8}{12\left(4\times 8+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(1+2\times 12\right)}{3\left(3+4\times 8\right)}$$

Multiply 2 and 12 to get 24.

$$\frac{2\left(1+24\right)}{3\left(3+4\times 8\right)}$$

Add 1 and 24 to get 25.

$$\frac{2\times 25}{3\left(3+4\times 8\right)}$$

Multiply 2 and 25 to get 50.

$$\frac{50}{3\left(3+4\times 8\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{50}{3\left(3+32\right)}$$

Add 3 and 32 to get 35.

$$\frac{50}{3\times 35}$$

Multiply 3 and 35 to get 105.

$$\frac{50}{105}$$

Reduce the fraction \frac{50}{105} to lowest terms by extracting and canceling out 5.

$$\frac{10}{21}$$

Factor

$$\frac{2 \cdot 5}{3 \cdot 7} = 0.47619047619047616$$