Solve 5/6+2/12:7/2

$$\frac { 5 } { 6 } + \frac { 2 } { 12 } : \frac { 7 } { 2 }$$

Evaluate

$$\frac{37}{42}\approx 0.880952381$$

Solution Steps

Divide \frac{2}{12} by \frac{7}{2} by multiplying \frac{2}{12} by the reciprocal of \frac{7}{2}.

$$\frac{5}{6}+\frac{2\times 2}{12\times 7}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{5}{6}+\frac{1}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{5}{6}+\frac{1}{21}$$

Least common multiple of 6 and 21 is 42. Convert \frac{5}{6} and \frac{1}{21} to fractions with denominator 42.

$$\frac{35}{42}+\frac{2}{42}$$

Since \frac{35}{42} and \frac{2}{42} have the same denominator, add them by adding their numerators.

$$\frac{35+2}{42}$$

Add 35 and 2 to get 37.

$$\frac{37}{42}$$

Factor

$$\frac{37}{2 \cdot 3 \cdot 7} = 0.8809523809523809$$