Solve 1/4*0.5+1/2

$$\frac{ 1 }{ 4 } \times 0.5+ \frac{ 1 }{ 2 }$$

Evaluate

$$0.625$$

Solution Steps

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.

$$\frac{1}{4}\times \frac{1}{2}+\frac{1}{2}$$

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

$$\frac{1\times 1}{4\times 2}+\frac{1}{2}$$

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

$$\frac{1}{8}+\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{1}{8} and \frac{1}{2} to fractions with denominator 8.

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

Since \frac{1}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$