Solve 5/104/9*100=

$$\frac{ 5 }{ 10 } \frac{ 4 }{ 9 } \times 100=$$

Evaluate

$$\frac{200}{9}\approx 22.222222222$$

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{4}{9}\times 100$$

Multiply \frac{1}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 9}\times 100$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 9}.

$$\frac{4}{18}\times 100$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}\times 100$$

Express \frac{2}{9}\times 100 as a single fraction.

$$\frac{2\times 100}{9}$$

Multiply 2 and 100 to get 200.

$$\frac{200}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 ^ {2}} = 22\frac{2}{9} = 22.22222222222222$$