Solve 92/400+18/25

$$\frac { 92 } { 400 } + \frac { 18 } { 25 }$$

Evaluate

$$\frac{19}{20}=0.95$$

Solution Steps

Reduce the fraction \frac{92}{400} to lowest terms by extracting and canceling out 4.

$$\frac{23}{100}+\frac{18}{25}$$

Least common multiple of 100 and 25 is 100. Convert \frac{23}{100} and \frac{18}{25} to fractions with denominator 100.

$$\frac{23}{100}+\frac{72}{100}$$

Since \frac{23}{100} and \frac{72}{100} have the same denominator, add them by adding their numerators.

$$\frac{23+72}{100}$$

Add 23 and 72 to get 95.

$$\frac{95}{100}$$

Reduce the fraction \frac{95}{100} to lowest terms by extracting and canceling out 5.

$$\frac{19}{20}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 5} = 0.95$$