Solve 22.4/364.8

$$\frac{ 22.4 }{ 36 } 4.8$$

Evaluate

$$\frac{224}{75}\approx 2.986666667$$

Solution Steps

Expand \frac{22.4}{36} by multiplying both numerator and the denominator by 10.

$$\frac{224}{360}\times 4.8$$

Reduce the fraction \frac{224}{360} to lowest terms by extracting and canceling out 8.

$$\frac{28}{45}\times 4.8$$

Convert decimal number 4.8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{28}{45}\times \frac{24}{5}$$

Multiply \frac{28}{45} times \frac{24}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 24}{45\times 5}$$

Do the multiplications in the fraction \frac{28\times 24}{45\times 5}.

$$\frac{672}{225}$$

Reduce the fraction \frac{672}{225} to lowest terms by extracting and canceling out 3.

$$\frac{224}{75}$$

Factor

$$\frac{7 \cdot 2 ^ {5}}{3 \cdot 5 ^ {2}} = 2\frac{74}{75} = 2.986666666666667$$