Solve 134/36010^2+5^2(1/2

$$\frac{ 134 }{ 360 } { 10 }^{ 2 } + { 5 }^{ 2 } ( \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{895}{18}\approx 49.722222222$$

Solution Steps

Reduce the fraction \frac{134}{360} to lowest terms by extracting and canceling out 2.

$$\frac{67}{180}\times 10^{2}+5^{2}\times \frac{1}{2}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{67}{180}\times 100+5^{2}\times \frac{1}{2}$$

Express \frac{67}{180}\times 100 as a single fraction.

$$\frac{67\times 100}{180}+5^{2}\times \frac{1}{2}$$

Multiply 67 and 100 to get 6700.

$$\frac{6700}{180}+5^{2}\times \frac{1}{2}$$

Reduce the fraction \frac{6700}{180} to lowest terms by extracting and canceling out 20.

$$\frac{335}{9}+5^{2}\times \frac{1}{2}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{335}{9}+25\times \frac{1}{2}$$

Multiply 25 and \frac{1}{2} to get \frac{25}{2}.

$$\frac{335}{9}+\frac{25}{2}$$

Least common multiple of 9 and 2 is 18. Convert \frac{335}{9} and \frac{25}{2} to fractions with denominator 18.

$$\frac{670}{18}+\frac{225}{18}$$

Since \frac{670}{18} and \frac{225}{18} have the same denominator, add them by adding their numerators.

$$\frac{670+225}{18}$$

Add 670 and 225 to get 895.

$$\frac{895}{18}$$

Factor

$$\frac{5 \cdot 179}{2 \cdot 3 ^ {2}} = 49\frac{13}{18} = 49.72222222222222$$