Solve 0.25/0.5+frac{0.875{2.25}}

$$\frac{ 0.25 }{ 0.5+ \frac{ 0.875 }{ 2.25 } }$$

Evaluate

$$0.28125$$

Solution Steps

Expand \frac{0.875}{2.25} by multiplying both numerator and the denominator by 1000.

$$\frac{0.25}{0.5+\frac{875}{2250}}$$

Reduce the fraction \frac{875}{2250} to lowest terms by extracting and canceling out 125.

$$\frac{0.25}{0.5+\frac{7}{18}}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{0.25}{\frac{1}{2}+\frac{7}{18}}$$

Least common multiple of 2 and 18 is 18. Convert \frac{1}{2} and \frac{7}{18} to fractions with denominator 18.

$$\frac{0.25}{\frac{9}{18}+\frac{7}{18}}$$

Since \frac{9}{18} and \frac{7}{18} have the same denominator, add them by adding their numerators.

$$\frac{0.25}{\frac{9+7}{18}}$$

Add 9 and 7 to get 16.

$$\frac{0.25}{\frac{16}{18}}$$

Reduce the fraction \frac{16}{18} to lowest terms by extracting and canceling out 2.

$$\frac{0.25}{\frac{8}{9}}$$

Divide 0.25 by \frac{8}{9} by multiplying 0.25 by the reciprocal of \frac{8}{9}.

$$0.25\times \frac{9}{8}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}\times \frac{9}{8}$$

Multiply \frac{1}{4} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{4\times 8}$$

Do the multiplications in the fraction \frac{1\times 9}{4\times 8}.

$$\frac{9}{32}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5}} = 0.28125$$