Solve 82*60%+74*4%

$$82 \times 60 \% + 74 \times 4 \%$$

Evaluate

$$\frac{1304}{25}=52.16$$

Solution Steps

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$82\times \frac{3}{5}+74\times \frac{4}{100}$$

Express 82\times \frac{3}{5} as a single fraction.

$$\frac{82\times 3}{5}+74\times \frac{4}{100}$$

Multiply 82 and 3 to get 246.

$$\frac{246}{5}+74\times \frac{4}{100}$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{246}{5}+74\times \frac{1}{25}$$

Multiply 74 and \frac{1}{25} to get \frac{74}{25}.

$$\frac{246}{5}+\frac{74}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{246}{5} and \frac{74}{25} to fractions with denominator 25.

$$\frac{1230}{25}+\frac{74}{25}$$

Since \frac{1230}{25} and \frac{74}{25} have the same denominator, add them by adding their numerators.

$$\frac{1230+74}{25}$$

Add 1230 and 74 to get 1304.

$$\frac{1304}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 163}{5 ^ {2}} = 52\frac{4}{25} = 52.16$$