Solve 0.261/10*48*100=

$$\frac { 0.261 } { 10 \cdot 48 } \times 100 =$$

Evaluate

$$0.054375$$

Solution Steps

Multiply 10 and 48 to get 480.

$$\frac{0.261}{480}\times 100$$

Expand \frac{0.261}{480} by multiplying both numerator and the denominator by 1000.

$$\frac{261}{480000}\times 100$$

Reduce the fraction \frac{261}{480000} to lowest terms by extracting and canceling out 3.

$$\frac{87}{160000}\times 100$$

Express \frac{87}{160000}\times 100 as a single fraction.

$$\frac{87\times 100}{160000}$$

Multiply 87 and 100 to get 8700.

$$\frac{8700}{160000}$$

Reduce the fraction \frac{8700}{160000} to lowest terms by extracting and canceling out 100.

$$\frac{87}{1600}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {6} \cdot 5 ^ {2}} = 0.054375$$