Solve 7^2+3^2-5^2/2*7*3

$$\frac{ { 7 }^{ 2 } + { 3 }^{ 2 } - { 5 }^{ 2 } }{ 2 \times 7 \times 3 }$$

Evaluate

$$\frac{11}{14}\approx 0.785714286$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{49+3^{2}-5^{2}}{2\times 7\times 3}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{49+9-5^{2}}{2\times 7\times 3}$$

Add 49 and 9 to get 58.

$$\frac{58-5^{2}}{2\times 7\times 3}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{58-25}{2\times 7\times 3}$$

Subtract 25 from 58 to get 33.

$$\frac{33}{2\times 7\times 3}$$

Multiply 2 and 7 to get 14.

$$\frac{33}{14\times 3}$$

Multiply 14 and 3 to get 42.

$$\frac{33}{42}$$

Reduce the fraction \frac{33}{42} to lowest terms by extracting and canceling out 3.

$$\frac{11}{14}$$

Factor

$$\frac{11}{2 \cdot 7} = 0.7857142857142857$$