Solve 2.4%text{of}2.4

$$2.4 \% \text { of } 2.4$$

Evaluate

$$0.0576$$

Solution Steps

Expand \frac{2.4}{100} by multiplying both numerator and the denominator by 10.

$$\frac{24}{1000}\times 2.4$$

Reduce the fraction \frac{24}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{3}{125}\times 2.4$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{125}\times \frac{12}{5}$$

Multiply \frac{3}{125} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 12}{125\times 5}$$

Do the multiplications in the fraction \frac{3\times 12}{125\times 5}.

$$\frac{36}{625}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5 ^ {4}} = 0.0576$$