Solve 22.4/64*2.24=

$$\frac{ 22.4 }{ 64 } \times 2.24=$$

Evaluate

$$0.784$$

Solution Steps

Expand \frac{22.4}{64} by multiplying both numerator and the denominator by 10.

$$\frac{224}{640}\times 2.24$$

Reduce the fraction \frac{224}{640} to lowest terms by extracting and canceling out 32.

$$\frac{7}{20}\times 2.24$$

Convert decimal number 2.24 to fraction \frac{224}{100}. Reduce the fraction \frac{224}{100} to lowest terms by extracting and canceling out 4.

$$\frac{7}{20}\times \frac{56}{25}$$

Multiply \frac{7}{20} times \frac{56}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 56}{20\times 25}$$

Do the multiplications in the fraction \frac{7\times 56}{20\times 25}.

$$\frac{392}{500}$$

Reduce the fraction \frac{392}{500} to lowest terms by extracting and canceling out 4.

$$\frac{98}{125}$$

Factor

$$\frac{2 \cdot 7 ^ {2}}{5 ^ {3}} = 0.784$$