Solve 78%text{of}125+25%text{of}161=?

$$78 \% \text { of } 125 + 25 \% \text { of } 161 = ?$$

Evaluate

$$\frac{551}{4}=137.75$$

Solution Steps

Reduce the fraction \frac{78}{100} to lowest terms by extracting and canceling out 2.

$$\frac{39}{50}\times 125+\frac{25}{100}\times 161$$

Express \frac{39}{50}\times 125 as a single fraction.

$$\frac{39\times 125}{50}+\frac{25}{100}\times 161$$

Multiply 39 and 125 to get 4875.

$$\frac{4875}{50}+\frac{25}{100}\times 161$$

Reduce the fraction \frac{4875}{50} to lowest terms by extracting and canceling out 25.

$$\frac{195}{2}+\frac{25}{100}\times 161$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{195}{2}+\frac{1}{4}\times 161$$

Multiply \frac{1}{4} and 161 to get \frac{161}{4}.

$$\frac{195}{2}+\frac{161}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{195}{2} and \frac{161}{4} to fractions with denominator 4.

$$\frac{390}{4}+\frac{161}{4}$$

Since \frac{390}{4} and \frac{161}{4} have the same denominator, add them by adding their numerators.

$$\frac{390+161}{4}$$

Add 390 and 161 to get 551.

$$\frac{551}{4}$$

Factor

$$\frac{19 \cdot 29}{2 ^ {2}} = 137\frac{3}{4} = 137.75$$