Solve 0.244(41.3/5.55)

$$0.244( \frac{ 41.3 }{ 5.55 } )$$

Evaluate

$$\frac{25193}{13875}\approx 1.815711712$$

Solution Steps

Expand \frac{41.3}{5.55} by multiplying both numerator and the denominator by 100.

$$0.244\times \frac{4130}{555}$$

Reduce the fraction \frac{4130}{555} to lowest terms by extracting and canceling out 5.

$$0.244\times \frac{826}{111}$$

Convert decimal number 0.244 to fraction \frac{244}{1000}. Reduce the fraction \frac{244}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{61}{250}\times \frac{826}{111}$$

Multiply \frac{61}{250} times \frac{826}{111} by multiplying numerator times numerator and denominator times denominator.

$$\frac{61\times 826}{250\times 111}$$

Do the multiplications in the fraction \frac{61\times 826}{250\times 111}.

$$\frac{50386}{27750}$$

Reduce the fraction \frac{50386}{27750} to lowest terms by extracting and canceling out 2.

$$\frac{25193}{13875}$$

Factor

$$\frac{7 \cdot 59 \cdot 61}{3 \cdot 37 \cdot 5 ^ {3}} = 1\frac{11318}{13875} = 1.8157117117117116$$