Solve 7*250%+30x-125%

$$7 \times 250 \% +30x-125 \%$$

Evaluate

$$30x+\frac{65}{4}$$

Solution Steps

Reduce the fraction \frac{250}{100} to lowest terms by extracting and canceling out 50.

$$7\times \frac{5}{2}+30x-\frac{125}{100}$$

Express 7\times \frac{5}{2} as a single fraction.

$$\frac{7\times 5}{2}+30x-\frac{125}{100}$$

Multiply 7 and 5 to get 35.

$$\frac{35}{2}+30x-\frac{125}{100}$$

Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{35}{2}+30x-\frac{5}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{35}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{70}{4}+30x-\frac{5}{4}$$

Since \frac{70}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70-5}{4}+30x$$

Subtract 5 from 70 to get 65.

$$\frac{65}{4}+30x$$

Factor

$$\frac{5\left(24x+13\right)}{4}$$

Solution Steps

Factor out \frac{5}{4}.

$$\frac{5\left(13+24x\right)}{4}$$

Consider 14+24x-1. Multiply and combine like terms.

$$24x+13$$

Rewrite the complete factored expression.

$$\frac{5\left(24x+13\right)}{4}$$