Solve 55.6%text{of}48?

$$55.6 \% \text { of } 48 ?$$

Evaluate

$$26.688$$

Solution Steps

Expand \frac{55.6}{100} by multiplying both numerator and the denominator by 10.

$$\frac{556}{1000}\times 48$$

Reduce the fraction \frac{556}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{139}{250}\times 48$$

Express \frac{139}{250}\times 48 as a single fraction.

$$\frac{139\times 48}{250}$$

Multiply 139 and 48 to get 6672.

$$\frac{6672}{250}$$

Reduce the fraction \frac{6672}{250} to lowest terms by extracting and canceling out 2.

$$\frac{3336}{125}$$

Factor

$$\frac{3 \cdot 139 \cdot 2 ^ {3}}{5 ^ {3}} = 26\frac{86}{125} = 26.688$$