Solve 24/15div612/15

$$2 \frac{ 4 }{ 15 } \div 6 \frac{ 12 }{ 15 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Divide \frac{2\times 15+4}{15} by \frac{6\times 15+12}{15} by multiplying \frac{2\times 15+4}{15} by the reciprocal of \frac{6\times 15+12}{15}.

$$\frac{\left(2\times 15+4\right)\times 15}{15\left(6\times 15+12\right)}$$

Cancel out 15 in both numerator and denominator.

$$\frac{4+2\times 15}{12+6\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{4+30}{12+6\times 15}$$

Add 4 and 30 to get 34.

$$\frac{34}{12+6\times 15}$$

Multiply 6 and 15 to get 90.

$$\frac{34}{12+90}$$

Add 12 and 90 to get 102.

$$\frac{34}{102}$$

Reduce the fraction \frac{34}{102} to lowest terms by extracting and canceling out 34.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$