Solve 0,4/82+7.5%

$$\frac { 0,4 } { 82 } + 7.5 \%$$

Evaluate

$$\frac{131}{1640}\approx 0.079878049$$

Solution Steps

Expand \frac{0.4}{82} by multiplying both numerator and the denominator by 10.

$$\frac{4}{820}+\frac{7.5}{100}$$

Reduce the fraction \frac{4}{820} to lowest terms by extracting and canceling out 4.

$$\frac{1}{205}+\frac{7.5}{100}$$

Expand \frac{7.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{1}{205}+\frac{75}{1000}$$

Reduce the fraction \frac{75}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{1}{205}+\frac{3}{40}$$

Least common multiple of 205 and 40 is 1640. Convert \frac{1}{205} and \frac{3}{40} to fractions with denominator 1640.

$$\frac{8}{1640}+\frac{123}{1640}$$

Since \frac{8}{1640} and \frac{123}{1640} have the same denominator, add them by adding their numerators.

$$\frac{8+123}{1640}$$

Add 8 and 123 to get 131.

$$\frac{131}{1640}$$

Factor

$$\frac{131}{5 \cdot 41 \cdot 2 ^ {3}} = 0.0798780487804878$$