Solve 1/2+8/9*3/16

$$\frac{ 1 }{ 2 } + \frac{ 8 }{ 9 } \times \frac{ 3 }{ 16 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply \frac{8}{9} times \frac{3}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{8\times 3}{9\times 16}$$

Do the multiplications in the fraction \frac{8\times 3}{9\times 16}.

$$\frac{1}{2}+\frac{24}{144}$$

Reduce the fraction \frac{24}{144} to lowest terms by extracting and canceling out 24.

$$\frac{1}{2}+\frac{1}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{3}{6}+\frac{1}{6}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{6}$$

Add 3 and 1 to get 4.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$