Solve 5^2-6/3div15/3

$$\frac { 5 ^ { 2 } - 6 } { 3 } \div 1 \frac { 5 } { 3 }$$

Evaluate

$$\frac{19}{8}=2.375$$

Solution Steps

Divide \frac{5^{2}-6}{3} by \frac{1\times 3+5}{3} by multiplying \frac{5^{2}-6}{3} by the reciprocal of \frac{1\times 3+5}{3}.

$$\frac{\left(5^{2}-6\right)\times 3}{3\left(1\times 3+5\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5^{2}-6}{3+5}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{25-6}{3+5}$$

Subtract 6 from 25 to get 19.

$$\frac{19}{3+5}$$

Add 3 and 5 to get 8.

$$\frac{19}{8}$$

Factor

$$\frac{19}{2 ^ {3}} = 2\frac{3}{8} = 2.375$$