Solve 5.342/5:5*972/5

$$\frac { 5.342 } { 5 } : \frac { 5 \cdot 972 } { 5 }$$

Evaluate

$$\frac{2671}{2430000}\approx 0.001099177$$

Solution Steps

Divide \frac{5.342}{5} by \frac{5\times 972}{5} by multiplying \frac{5.342}{5} by the reciprocal of \frac{5\times 972}{5}.

$$\frac{5.342\times 5}{5\times 5\times 972}$$

Cancel out 5 in both numerator and denominator.

$$\frac{5.342}{5\times 972}$$

Multiply 5 and 972 to get 4860.

$$\frac{5.342}{4860}$$

Expand \frac{5.342}{4860} by multiplying both numerator and the denominator by 1000.

$$\frac{5342}{4860000}$$

Reduce the fraction \frac{5342}{4860000} to lowest terms by extracting and canceling out 2.

$$\frac{2671}{2430000}$$

Factor

$$\frac{2671}{2 ^ {4} \cdot 3 ^ {5} \cdot 5 ^ {4}} = 0.0010991769547325104$$