Solve 15-1/5(6.4)

$$15- \frac{ 1 }{ 5 } (6.4)$$

Evaluate

$$13.72$$

Solution Steps

Convert decimal number 6.4 to fraction \frac{64}{10}. Reduce the fraction \frac{64}{10} to lowest terms by extracting and canceling out 2.

$$15-\frac{1}{5}\times \frac{32}{5}$$

Multiply \frac{1}{5} times \frac{32}{5} by multiplying numerator times numerator and denominator times denominator.

$$15-\frac{1\times 32}{5\times 5}$$

Do the multiplications in the fraction \frac{1\times 32}{5\times 5}.

$$15-\frac{32}{25}$$

Convert 15 to fraction \frac{375}{25}.

$$\frac{375}{25}-\frac{32}{25}$$

Since \frac{375}{25} and \frac{32}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{375-32}{25}$$

Subtract 32 from 375 to get 343.

$$\frac{343}{25}$$

Factor

$$\frac{7 ^ {3}}{5 ^ {2}} = 13\frac{18}{25} = 13.72$$