Solve 150%text{of}15+75%text{of}75=?

$$150 \% \text { of } 15 + 75 \% \text { of } 75 = ?$$

Evaluate

$$\frac{315}{4}=78.75$$

Solution Steps

Reduce the fraction \frac{150}{100} to lowest terms by extracting and canceling out 50.

$$\frac{3}{2}\times 15+\frac{75}{100}\times 75$$

Express \frac{3}{2}\times 15 as a single fraction.

$$\frac{3\times 15}{2}+\frac{75}{100}\times 75$$

Multiply 3 and 15 to get 45.

$$\frac{45}{2}+\frac{75}{100}\times 75$$

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{45}{2}+\frac{3}{4}\times 75$$

Express \frac{3}{4}\times 75 as a single fraction.

$$\frac{45}{2}+\frac{3\times 75}{4}$$

Multiply 3 and 75 to get 225.

$$\frac{45}{2}+\frac{225}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{45}{2} and \frac{225}{4} to fractions with denominator 4.

$$\frac{90}{4}+\frac{225}{4}$$

Since \frac{90}{4} and \frac{225}{4} have the same denominator, add them by adding their numerators.

$$\frac{90+225}{4}$$

Add 90 and 225 to get 315.

$$\frac{315}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 7}{2 ^ {2}} = 78\frac{3}{4} = 78.75$$