Solve 8%+65/89-23.2

$$8 \% + \frac{ 65 }{ 89-23.2 }$$

Evaluate

$$\frac{8783}{8225}\approx 1.067841945$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2}{25}+\frac{65}{89-23.2}$$

Subtract 23.2 from 89 to get 65.8.

$$\frac{2}{25}+\frac{65}{65.8}$$

Expand \frac{65}{65.8} by multiplying both numerator and the denominator by 10.

$$\frac{2}{25}+\frac{650}{658}$$

Reduce the fraction \frac{650}{658} to lowest terms by extracting and canceling out 2.

$$\frac{2}{25}+\frac{325}{329}$$

Least common multiple of 25 and 329 is 8225. Convert \frac{2}{25} and \frac{325}{329} to fractions with denominator 8225.

$$\frac{658}{8225}+\frac{8125}{8225}$$

Since \frac{658}{8225} and \frac{8125}{8225} have the same denominator, add them by adding their numerators.

$$\frac{658+8125}{8225}$$

Add 658 and 8125 to get 8783.

$$\frac{8783}{8225}$$

Factor

$$\frac{8783}{7 \cdot 47 \cdot 5 ^ {2}} = 1\frac{558}{8225} = 1.0678419452887538$$