Solve 2%+(7%-2%)*1.25

$$2 \% +(7 \% -2 \% ) \times 1.25$$

Evaluate

$$0.0825$$

Solution Steps

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

$$\frac{1}{50}+\left(\frac{7}{100}-\frac{2}{100}\right)\times 1.25$$

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

$$\frac{1}{50}+\frac{7-2}{100}\times 1.25$$

Subtract 2 from 7 to get 5.

$$\frac{1}{50}+\frac{5}{100}\times 1.25$$

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

$$\frac{1}{50}+\frac{1}{20}\times 1.25$$

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{50}+\frac{1}{20}\times \frac{5}{4}$$

Multiply \frac{1}{20} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{50}+\frac{1\times 5}{20\times 4}$$

Do the multiplications in the fraction \frac{1\times 5}{20\times 4}.

$$\frac{1}{50}+\frac{5}{80}$$

Reduce the fraction \frac{5}{80} to lowest terms by extracting and canceling out 5.

$$\frac{1}{50}+\frac{1}{16}$$

Least common multiple of 50 and 16 is 400. Convert \frac{1}{50} and \frac{1}{16} to fractions with denominator 400.

$$\frac{8}{400}+\frac{25}{400}$$

Since \frac{8}{400} and \frac{25}{400} have the same denominator, add them by adding their numerators.

$$\frac{8+25}{400}$$

Add 8 and 25 to get 33.

$$\frac{33}{400}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {4} \cdot 5 ^ {2}} = 0.0825$$