Solve 0.862+9.52*0.092/10

$$0.862+9.52 \times \frac{ 0.092 }{ 10 }$$

Evaluate

$$0.949584$$

Solution Steps

Expand \frac{0.092}{10} by multiplying both numerator and the denominator by 1000.

$$0.862+9.52\times \frac{92}{10000}$$

Reduce the fraction \frac{92}{10000} to lowest terms by extracting and canceling out 4.

$$0.862+9.52\times \frac{23}{2500}$$

Convert decimal number 9.52 to fraction \frac{952}{100}. Reduce the fraction \frac{952}{100} to lowest terms by extracting and canceling out 4.

$$0.862+\frac{238}{25}\times \frac{23}{2500}$$

Multiply \frac{238}{25} times \frac{23}{2500} by multiplying numerator times numerator and denominator times denominator.

$$0.862+\frac{238\times 23}{25\times 2500}$$

Do the multiplications in the fraction \frac{238\times 23}{25\times 2500}.

$$0.862+\frac{5474}{62500}$$

Reduce the fraction \frac{5474}{62500} to lowest terms by extracting and canceling out 2.

$$0.862+\frac{2737}{31250}$$

Convert decimal number 0.862 to fraction \frac{862}{1000}. Reduce the fraction \frac{862}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{431}{500}+\frac{2737}{31250}$$

Least common multiple of 500 and 31250 is 62500. Convert \frac{431}{500} and \frac{2737}{31250} to fractions with denominator 62500.

$$\frac{53875}{62500}+\frac{5474}{62500}$$

Since \frac{53875}{62500} and \frac{5474}{62500} have the same denominator, add them by adding their numerators.

$$\frac{53875+5474}{62500}$$

Add 53875 and 5474 to get 59349.

$$\frac{59349}{62500}$$

Factor

$$\frac{3 \cdot 73 \cdot 271}{2 ^ {2} \cdot 5 ^ {6}} = 0.949584$$