Solve 3+1/4div(5/8)

$$3+ \frac{ 1 }{ 4 } \div ( \frac{ 5 }{ 8 } )$$

Evaluate

$$\frac{17}{5}=3.4$$

Solution Steps

Divide \frac{1}{4} by \frac{5}{8} by multiplying \frac{1}{4} by the reciprocal of \frac{5}{8}.

$$3+\frac{1}{4}\times \frac{8}{5}$$

Multiply \frac{1}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$3+\frac{1\times 8}{4\times 5}$$

Do the multiplications in the fraction \frac{1\times 8}{4\times 5}.

$$3+\frac{8}{20}$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$3+\frac{2}{5}$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{15}{5}+\frac{2}{5}$$

Since \frac{15}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{5}$$

Add 15 and 2 to get 17.

$$\frac{17}{5}$$

Factor

$$\frac{17}{5} = 3\frac{2}{5} = 3.4$$