Solve 1/2div5/8+1/4*3/5

$$\frac { 1 } { 2 } \div \frac { 5 } { 8 } + \frac { 1 } { 4 } \times \frac { 3 } { 5 }$$

Evaluate

$$\frac{19}{20}=0.95$$

Solution Steps

Divide \frac{1}{2} by \frac{5}{8} by multiplying \frac{1}{2} by the reciprocal of \frac{5}{8}.

$$\frac{1}{2}\times \frac{8}{5}+\frac{1}{4}\times \frac{3}{5}$$

Multiply \frac{1}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{2\times 5}+\frac{1}{4}\times \frac{3}{5}$$

Do the multiplications in the fraction \frac{1\times 8}{2\times 5}.

$$\frac{8}{10}+\frac{1}{4}\times \frac{3}{5}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{1}{4} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{4\times 5}.

$$\frac{4}{5}+\frac{3}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{4}{5} and \frac{3}{20} to fractions with denominator 20.

$$\frac{16}{20}+\frac{3}{20}$$

Since \frac{16}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{16+3}{20}$$

Add 16 and 3 to get 19.

$$\frac{19}{20}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 5} = 0.95$$