Solve 2*75%-125*3/4+7.5*2.4

$$2 \times 75 \% - 125 \times \frac { 3 } { 4 } + 7.5 \times 2.4$$

Evaluate

$$-74.25$$

Solution Steps

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

$$2\times \frac{3}{4}-125\times \frac{3}{4}+7.5\times 2.4$$

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{2\times 3}{4}-125\times \frac{3}{4}+7.5\times 2.4$$

Multiply 2 and 3 to get 6.

$$\frac{6}{4}-125\times \frac{3}{4}+7.5\times 2.4$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-125\times \frac{3}{4}+7.5\times 2.4$$

Express 125\times \frac{3}{4} as a single fraction.

$$\frac{3}{2}-\frac{125\times 3}{4}+7.5\times 2.4$$

Multiply 125 and 3 to get 375.

$$\frac{3}{2}-\frac{375}{4}+7.5\times 2.4$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{375}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{375}{4}+7.5\times 2.4$$

Since \frac{6}{4} and \frac{375}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-375}{4}+7.5\times 2.4$$

Subtract 375 from 6 to get -369.

$$-\frac{369}{4}+7.5\times 2.4$$

Multiply 7.5 and 2.4 to get 18.

$$-\frac{369}{4}+18$$

Convert 18 to fraction \frac{72}{4}.

$$-\frac{369}{4}+\frac{72}{4}$$

Since -\frac{369}{4} and \frac{72}{4} have the same denominator, add them by adding their numerators.

$$\frac{-369+72}{4}$$

Add -369 and 72 to get -297.

$$-\frac{297}{4}$$

Factor

$$-74.25$$