Solve 0.75*65+3/436-75%

$$0.75 \cdot 65+ \frac{ 3 }{ 4 } 36-75 \%$$

Evaluate

$$75$$

Solution Steps

Multiply 0.75 and 65 to get 48.75.

$$48.75+\frac{3}{4}\times 36-\frac{75}{100}$$

Express \frac{3}{4}\times 36 as a single fraction.

$$48.75+\frac{3\times 36}{4}-\frac{75}{100}$$

Multiply 3 and 36 to get 108.

$$48.75+\frac{108}{4}-\frac{75}{100}$$

Divide 108 by 4 to get 27.

$$48.75+27-\frac{75}{100}$$

Add 48.75 and 27 to get 75.75.

$$75.75-\frac{75}{100}$$

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

$$75.75-\frac{3}{4}$$

Convert decimal number 75.75 to fraction \frac{7575}{100}. Reduce the fraction \frac{7575}{100} to lowest terms by extracting and canceling out 25.

$$\frac{303}{4}-\frac{3}{4}$$

Since \frac{303}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{303-3}{4}$$

Subtract 3 from 303 to get 300.

$$\frac{300}{4}$$

Divide 300 by 4 to get 75.

$$75$$

Factor

$$3\times 5^{2}$$