Solve 8^2-58/100*45

$$8 ^ { 2 } - \frac { 58 } { 100 } \times 45$$

Evaluate

$$\frac{379}{10}=37.9$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$64-\frac{58}{100}\times 45$$

Reduce the fraction \frac{58}{100} to lowest terms by extracting and canceling out 2.

$$64-\frac{29}{50}\times 45$$

Express \frac{29}{50}\times 45 as a single fraction.

$$64-\frac{29\times 45}{50}$$

Multiply 29 and 45 to get 1305.

$$64-\frac{1305}{50}$$

Reduce the fraction \frac{1305}{50} to lowest terms by extracting and canceling out 5.

$$64-\frac{261}{10}$$

Convert 64 to fraction \frac{640}{10}.

$$\frac{640}{10}-\frac{261}{10}$$

Since \frac{640}{10} and \frac{261}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{640-261}{10}$$

Subtract 261 from 640 to get 379.

$$\frac{379}{10}$$

Factor

$$\frac{379}{2 \cdot 5} = 37\frac{9}{10} = 37.9$$