Solve 1.070(2.0158/18.015)

$$1.070( \frac{ 2.0158 }{ 18.015 } )$$

Evaluate

$$\frac{1078453}{9007500}\approx 0.119728337$$

Solution Steps

Expand \frac{2.0158}{18.015} by multiplying both numerator and the denominator by 10000.

$$1.07\times \frac{20158}{180150}$$

Reduce the fraction \frac{20158}{180150} to lowest terms by extracting and canceling out 2.

$$1.07\times \frac{10079}{90075}$$

Convert decimal number 1.07 to fraction \frac{107}{100}.

$$\frac{107}{100}\times \frac{10079}{90075}$$

Multiply \frac{107}{100} times \frac{10079}{90075} by multiplying numerator times numerator and denominator times denominator.

$$\frac{107\times 10079}{100\times 90075}$$

Do the multiplications in the fraction \frac{107\times 10079}{100\times 90075}.

$$\frac{1078453}{9007500}$$

Factor

$$\frac{107 \cdot 10079}{3 \cdot 1201 \cdot 2 ^ {2} \cdot 5 ^ {4}} = 0.11972833749653067$$