Solve 35*(75.5/100)+37*(24.5/100)

$$35 \times ( \frac{ 75.5 }{ 100 } )+37 \times ( \frac{ 24.5 }{ 100 } )$$

Evaluate

$$35.49$$

Solution Steps

Expand \frac{75.5}{100} by multiplying both numerator and the denominator by 10.

$$35\times \frac{755}{1000}+37\times \frac{24.5}{100}$$

Reduce the fraction \frac{755}{1000} to lowest terms by extracting and canceling out 5.

$$35\times \frac{151}{200}+37\times \frac{24.5}{100}$$

Express 35\times \frac{151}{200} as a single fraction.

$$\frac{35\times 151}{200}+37\times \frac{24.5}{100}$$

Multiply 35 and 151 to get 5285.

$$\frac{5285}{200}+37\times \frac{24.5}{100}$$

Reduce the fraction \frac{5285}{200} to lowest terms by extracting and canceling out 5.

$$\frac{1057}{40}+37\times \frac{24.5}{100}$$

Expand \frac{24.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{1057}{40}+37\times \frac{245}{1000}$$

Reduce the fraction \frac{245}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{1057}{40}+37\times \frac{49}{200}$$

Express 37\times \frac{49}{200} as a single fraction.

$$\frac{1057}{40}+\frac{37\times 49}{200}$$

Multiply 37 and 49 to get 1813.

$$\frac{1057}{40}+\frac{1813}{200}$$

Least common multiple of 40 and 200 is 200. Convert \frac{1057}{40} and \frac{1813}{200} to fractions with denominator 200.

$$\frac{5285}{200}+\frac{1813}{200}$$

Since \frac{5285}{200} and \frac{1813}{200} have the same denominator, add them by adding their numerators.

$$\frac{5285+1813}{200}$$

Add 5285 and 1813 to get 7098.

$$\frac{7098}{200}$$

Reduce the fraction \frac{7098}{200} to lowest terms by extracting and canceling out 2.

$$\frac{3549}{100}$$

Factor

$$\frac{3 \cdot 7 \cdot 13 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 35\frac{49}{100} = 35.49$$