Solve 38*1.25+15div80%+1.25*27

$$38 \times 1.25 + 15 \div 80 \% + 1.25 \times 27$$

Evaluate

$$100$$

Solution Steps

Multiply 38 and 1.25 to get 47.5.

$$47.5+\frac{15}{\frac{80}{100}}+1.25\times 27$$

Divide 15 by \frac{80}{100} by multiplying 15 by the reciprocal of \frac{80}{100}.

$$47.5+\frac{15\times 100}{80}+1.25\times 27$$

Multiply 15 and 100 to get 1500.

$$47.5+\frac{1500}{80}+1.25\times 27$$

Reduce the fraction \frac{1500}{80} to lowest terms by extracting and canceling out 20.

$$47.5+\frac{75}{4}+1.25\times 27$$

Convert decimal number 47.5 to fraction \frac{475}{10}. Reduce the fraction \frac{475}{10} to lowest terms by extracting and canceling out 5.

$$\frac{95}{2}+\frac{75}{4}+1.25\times 27$$

Least common multiple of 2 and 4 is 4. Convert \frac{95}{2} and \frac{75}{4} to fractions with denominator 4.

$$\frac{190}{4}+\frac{75}{4}+1.25\times 27$$

Since \frac{190}{4} and \frac{75}{4} have the same denominator, add them by adding their numerators.

$$\frac{190+75}{4}+1.25\times 27$$

Add 190 and 75 to get 265.

$$\frac{265}{4}+1.25\times 27$$

Multiply 1.25 and 27 to get 33.75.

$$\frac{265}{4}+33.75$$

Convert decimal number 33.75 to fraction \frac{3375}{100}. Reduce the fraction \frac{3375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{265}{4}+\frac{135}{4}$$

Since \frac{265}{4} and \frac{135}{4} have the same denominator, add them by adding their numerators.

$$\frac{265+135}{4}$$

Add 265 and 135 to get 400.

$$\frac{400}{4}$$

Divide 400 by 4 to get 100.

$$100$$

Factor

$$2^{2}\times 5^{2}$$