Solve 1/111*37+8/3*1/16

$$\frac { 1 } { 111 } \times 37 + \frac { 8 } { 3 } \times \frac { 1 } { 16 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{1}{111} and 37 to get \frac{37}{111}.

$$\frac{37}{111}+\frac{8}{3}\times \frac{1}{16}$$

Reduce the fraction \frac{37}{111} to lowest terms by extracting and canceling out 37.

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

Multiply \frac{8}{3} times \frac{1}{16} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{8\times 1}{3\times 16}.

$$\frac{1}{3}+\frac{8}{48}$$

Reduce the fraction \frac{8}{48} to lowest terms by extracting and canceling out 8.

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

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{1}{6} to fractions with denominator 6.

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

Since \frac{2}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$