Solve 21/12div25/8=

$$2 \frac { 1 } { 12 } \div 2 \frac { 5 } { 8 } =$$

Evaluate

$$\frac{50}{63}\approx 0.793650794$$

Solution Steps

Divide \frac{2\times 12+1}{12} by \frac{2\times 8+5}{8} by multiplying \frac{2\times 12+1}{12} by the reciprocal of \frac{2\times 8+5}{8}.

$$\frac{\left(2\times 12+1\right)\times 8}{12\left(2\times 8+5\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(1+2\times 12\right)}{3\left(5+2\times 8\right)}$$

Multiply 2 and 12 to get 24.

$$\frac{2\left(1+24\right)}{3\left(5+2\times 8\right)}$$

Add 1 and 24 to get 25.

$$\frac{2\times 25}{3\left(5+2\times 8\right)}$$

Multiply 2 and 25 to get 50.

$$\frac{50}{3\left(5+2\times 8\right)}$$

Multiply 2 and 8 to get 16.

$$\frac{50}{3\left(5+16\right)}$$

Add 5 and 16 to get 21.

$$\frac{50}{3\times 21}$$

Multiply 3 and 21 to get 63.

$$\frac{50}{63}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2} \cdot 7} = 0.7936507936507936$$