Solve 56+7*8/(5)^2+(6)^2

$$\frac { 56 + 7 \times 8 } { ( 5 ) ^ { 2 } + ( 6 ) ^ { 2 } }$$

Evaluate

$$\frac{112}{61}\approx 1.836065574$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+56}{5^{2}+6^{2}}$$

Add 56 and 56 to get 112.

$$\frac{112}{5^{2}+6^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{112}{25+6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{112}{25+36}$$

Add 25 and 36 to get 61.

$$\frac{112}{61}$$

Factor

$$\frac{2 ^ {4} \cdot 7}{61} = 1\frac{51}{61} = 1.8360655737704918$$