Solve 0.45/0.80*100

$$\frac{ 0.45 }{ 0.80 } \times 100$$

Evaluate

$$56.25$$

Solution Steps

Expand \frac{0.45}{0.8} by multiplying both numerator and the denominator by 100.

$$\frac{45}{80}\times 100$$

Reduce the fraction \frac{45}{80} to lowest terms by extracting and canceling out 5.

$$\frac{9}{16}\times 100$$

Express \frac{9}{16}\times 100 as a single fraction.

$$\frac{9\times 100}{16}$$

Multiply 9 and 100 to get 900.

$$\frac{900}{16}$$

Reduce the fraction \frac{900}{16} to lowest terms by extracting and canceling out 4.

$$\frac{225}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {2}} = 56\frac{1}{4} = 56.25$$