Solve 0.96*904/0.96*637*0.764

$$\frac{ 0.96 \cdot 904 }{ 0.96 \cdot 637 } \times 0.764$$

Evaluate

$$\frac{86332}{79625}\approx 1.084232339$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{904}{637\times 0.96^{0}}\times 0.764$$

Calculate 0.96 to the power of 0 and get 1.

$$\frac{904}{637\times 1}\times 0.764$$

Multiply 637 and 1 to get 637.

$$\frac{904}{637}\times 0.764$$

Convert decimal number 0.764 to fraction \frac{764}{1000}. Reduce the fraction \frac{764}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{904}{637}\times \frac{191}{250}$$

Multiply \frac{904}{637} times \frac{191}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{904\times 191}{637\times 250}$$

Do the multiplications in the fraction \frac{904\times 191}{637\times 250}.

$$\frac{172664}{159250}$$

Reduce the fraction \frac{172664}{159250} to lowest terms by extracting and canceling out 2.

$$\frac{86332}{79625}$$

Factor

$$\frac{113 \cdot 191 \cdot 2 ^ {2}}{13 \cdot 5 ^ {3} \cdot 7 ^ {2}} = 1\frac{6707}{79625} = 1.084232339089482$$