Solve {7.68/frac{7.2{48}}}{2.4}

$$\frac { { 7.68 } { \frac { 7.2 } { 48 } } } { 2.4 }$$

Evaluate

$$0.48$$

Solution Steps

Expand \frac{7.2}{48} by multiplying both numerator and the denominator by 10.

$$\frac{7.68\times \frac{72}{480}}{2.4}$$

Reduce the fraction \frac{72}{480} to lowest terms by extracting and canceling out 24.

$$\frac{7.68\times \frac{3}{20}}{2.4}$$

Convert decimal number 7.68 to fraction \frac{768}{100}. Reduce the fraction \frac{768}{100} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{192}{25}\times \frac{3}{20}}{2.4}$$

Multiply \frac{192}{25} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{192\times 3}{25\times 20}}{2.4}$$

Do the multiplications in the fraction \frac{192\times 3}{25\times 20}.

$$\frac{\frac{576}{500}}{2.4}$$

Reduce the fraction \frac{576}{500} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{144}{125}}{2.4}$$

Express \frac{\frac{144}{125}}{2.4} as a single fraction.

$$\frac{144}{125\times 2.4}$$

Multiply 125 and 2.4 to get 300.

$$\frac{144}{300}$$

Reduce the fraction \frac{144}{300} to lowest terms by extracting and canceling out 12.

$$\frac{12}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{5 ^ {2}} = 0.48$$