Solve 25/6div123/4

$$2 \frac{ 5 }{ 6 } \div 12 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Divide \frac{2\times 6+5}{6} by \frac{12\times 4+3}{4} by multiplying \frac{2\times 6+5}{6} by the reciprocal of \frac{12\times 4+3}{4}.

$$\frac{\left(2\times 6+5\right)\times 4}{6\left(12\times 4+3\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(5+2\times 6\right)}{3\left(3+4\times 12\right)}$$

Multiply 2 and 6 to get 12.

$$\frac{2\left(5+12\right)}{3\left(3+4\times 12\right)}$$

Add 5 and 12 to get 17.

$$\frac{2\times 17}{3\left(3+4\times 12\right)}$$

Multiply 2 and 17 to get 34.

$$\frac{34}{3\left(3+4\times 12\right)}$$

Multiply 4 and 12 to get 48.

$$\frac{34}{3\left(3+48\right)}$$

Add 3 and 48 to get 51.

$$\frac{34}{3\times 51}$$

Multiply 3 and 51 to get 153.

$$\frac{34}{153}$$

Reduce the fraction \frac{34}{153} to lowest terms by extracting and canceling out 17.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$