Solve 38*125+15div80%+125*27

$$38 \times 125 + 15 \div 80 \% + 125 \times 27$$

Evaluate

$$\frac{32575}{4}=8143.75$$

Solution Steps

Multiply 38 and 125 to get 4750. Multiply 125 and 27 to get 3375.

$$4750+\frac{15}{\frac{80}{100}}+3375$$

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

$$4750+\frac{15\times 100}{80}+3375$$

Multiply 15 and 100 to get 1500.

$$4750+\frac{1500}{80}+3375$$

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

$$4750+\frac{75}{4}+3375$$

Convert 4750 to fraction \frac{19000}{4}.

$$\frac{19000}{4}+\frac{75}{4}+3375$$

Since \frac{19000}{4} and \frac{75}{4} have the same denominator, add them by adding their numerators.

$$\frac{19000+75}{4}+3375$$

Add 19000 and 75 to get 19075.

$$\frac{19075}{4}+3375$$

Convert 3375 to fraction \frac{13500}{4}.

$$\frac{19075}{4}+\frac{13500}{4}$$

Since \frac{19075}{4} and \frac{13500}{4} have the same denominator, add them by adding their numerators.

$$\frac{19075+13500}{4}$$

Add 19075 and 13500 to get 32575.

$$\frac{32575}{4}$$

Factor

$$\frac{5 ^ {2} \cdot 1303}{2 ^ {2}} = 8143\frac{3}{4} = 8143.75$$