Solve (0.138)(57.18/88.79)

$$(0.138)( \frac{ 57.18 }{ 88.79 } )$$

Evaluate

$$\frac{197271}{2219750}\approx 0.088870819$$

Solution Steps

Expand \frac{57.18}{88.79} by multiplying both numerator and the denominator by 100.

$$0.138\times \frac{5718}{8879}$$

Convert decimal number 0.138 to fraction \frac{138}{1000}. Reduce the fraction \frac{138}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{69}{500}\times \frac{5718}{8879}$$

Multiply \frac{69}{500} times \frac{5718}{8879} by multiplying numerator times numerator and denominator times denominator.

$$\frac{69\times 5718}{500\times 8879}$$

Do the multiplications in the fraction \frac{69\times 5718}{500\times 8879}.

$$\frac{394542}{4439500}$$

Reduce the fraction \frac{394542}{4439500} to lowest terms by extracting and canceling out 2.

$$\frac{197271}{2219750}$$

Factor

$$\frac{23 \cdot 953 \cdot 3 ^ {2}}{2 \cdot 13 \cdot 683 \cdot 5 ^ {3}} = 0.08887081878589931$$