Solve 2%+(7%-2%)*125

$$2 \% +(7 \% -2 \% ) \times 125$$

Evaluate

$$\frac{627}{100}=6.27$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}+\left(\frac{7}{100}-\frac{2}{100}\right)\times 125$$

Since \frac{7}{100} and \frac{2}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{50}+\frac{7-2}{100}\times 125$$

Subtract 2 from 7 to get 5.

$$\frac{1}{50}+\frac{5}{100}\times 125$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{50}+\frac{1}{20}\times 125$$

Multiply \frac{1}{20} and 125 to get \frac{125}{20}.

$$\frac{1}{50}+\frac{125}{20}$$

Reduce the fraction \frac{125}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{50}+\frac{25}{4}$$

Least common multiple of 50 and 4 is 100. Convert \frac{1}{50} and \frac{25}{4} to fractions with denominator 100.

$$\frac{2}{100}+\frac{625}{100}$$

Since \frac{2}{100} and \frac{625}{100} have the same denominator, add them by adding their numerators.

$$\frac{2+625}{100}$$

Add 2 and 625 to get 627.

$$\frac{627}{100}$$

Factor

$$\frac{3 \cdot 11 \cdot 19}{2 ^ {2} \cdot 5 ^ {2}} = 6\frac{27}{100} = 6.27$$