Solve 17/8*60%-3/5*12.5%

$$\frac{ 17 }{ 8 } \times 60 \% - \frac{ 3 }{ 5 } \times 12.5 \%$$

Evaluate

$$1.2$$

Solution Steps

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

$$\frac{17}{8}\times \frac{3}{5}-\frac{3}{5}\times \frac{12.5}{100}$$

Multiply \frac{17}{8} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 3}{8\times 5}-\frac{3}{5}\times \frac{12.5}{100}$$

Do the multiplications in the fraction \frac{17\times 3}{8\times 5}.

$$\frac{51}{40}-\frac{3}{5}\times \frac{12.5}{100}$$

Expand \frac{12.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{51}{40}-\frac{3}{5}\times \frac{125}{1000}$$

Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{51}{40}-\frac{3}{5}\times \frac{1}{8}$$

Multiply \frac{3}{5} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{51}{40}-\frac{3\times 1}{5\times 8}$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 8}.

$$\frac{51}{40}-\frac{3}{40}$$

Since \frac{51}{40} and \frac{3}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-3}{40}$$

Subtract 3 from 51 to get 48.

$$\frac{48}{40}$$

Reduce the fraction \frac{48}{40} to lowest terms by extracting and canceling out 8.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$