Solve 17.4/frac{2{5}}

$$\frac { 17.4 } { \frac { 2 } { 5 } }$$

Evaluate

$$43.5$$

Solution Steps

Divide 17.4 by \frac{2}{5} by multiplying 17.4 by the reciprocal of \frac{2}{5}.

$$17.4\times \frac{5}{2}$$

Convert decimal number 17.4 to fraction \frac{174}{10}. Reduce the fraction \frac{174}{10} to lowest terms by extracting and canceling out 2.

$$\frac{87}{5}\times \frac{5}{2}$$

Multiply \frac{87}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{87\times 5}{5\times 2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{87}{2}$$

Factor

$$\frac{3 \cdot 29}{2} = 43\frac{1}{2} = 43.5$$