Solve 8+1/4div2/5+0.25

$$8 + \frac { 1 } { 4 } \div \frac { 2 } { 5 } + 0.25$$

Evaluate

$$8.875$$

Solution Steps

Divide \frac{1}{4} by \frac{2}{5} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{5}.

$$8+\frac{1}{4}\times \frac{5}{2}+0.25$$

Multiply \frac{1}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$8+\frac{1\times 5}{4\times 2}+0.25$$

Do the multiplications in the fraction \frac{1\times 5}{4\times 2}.

$$8+\frac{5}{8}+0.25$$

Convert 8 to fraction \frac{64}{8}.

$$\frac{64}{8}+\frac{5}{8}+0.25$$

Since \frac{64}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{64+5}{8}+0.25$$

Add 64 and 5 to get 69.

$$\frac{69}{8}+0.25$$

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.

$$\frac{69}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{69}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{69}{8}+\frac{2}{8}$$

Since \frac{69}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{69+2}{8}$$

Add 69 and 2 to get 71.

$$\frac{71}{8}$$

Factor

$$\frac{71}{2 ^ {3}} = 8\frac{7}{8} = 8.875$$