Solve 99.7+68%2

$$99.7+68 \% 2$$

Evaluate

$$101.06$$

Solution Steps

Reduce the fraction \frac{68}{100} to lowest terms by extracting and canceling out 4.

$$99.7+\frac{17}{25}\times 2$$

Express \frac{17}{25}\times 2 as a single fraction.

$$99.7+\frac{17\times 2}{25}$$

Multiply 17 and 2 to get 34.

$$99.7+\frac{34}{25}$$

Convert decimal number 99.7 to fraction \frac{997}{10}.

$$\frac{997}{10}+\frac{34}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{997}{10} and \frac{34}{25} to fractions with denominator 50.

$$\frac{4985}{50}+\frac{68}{50}$$

Since \frac{4985}{50} and \frac{68}{50} have the same denominator, add them by adding their numerators.

$$\frac{4985+68}{50}$$

Add 4985 and 68 to get 5053.

$$\frac{5053}{50}$$

Factor

$$\frac{31 \cdot 163}{2 \cdot 5 ^ {2}} = 101\frac{3}{50} = 101.06$$