Solve 24/6div52/3

$$\frac { 24 } { 6 } \div 5 \frac { 2 } { 3 }$$

Evaluate

$$\frac{12}{17}\approx 0.705882353$$

Solution Steps

Divide \frac{24}{6} by \frac{5\times 3+2}{3} by multiplying \frac{24}{6} by the reciprocal of \frac{5\times 3+2}{3}.

$$\frac{24\times 3}{6\left(5\times 3+2\right)}$$

Cancel out 6 in both numerator and denominator.

$$\frac{3\times 4}{2+3\times 5}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{2+3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{12}{2+15}$$

Add 2 and 15 to get 17.

$$\frac{12}{17}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{17} = 0.7058823529411765$$