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

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

Evaluate

$$\frac{23}{8}=2.875$$

Solution Steps

Multiply \frac{7}{12} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{7\times 7}{12\times 2}.

$$\frac{5}{6}+\frac{49}{24}$$

Least common multiple of 6 and 24 is 24. Convert \frac{5}{6} and \frac{49}{24} to fractions with denominator 24.

$$\frac{20}{24}+\frac{49}{24}$$

Since \frac{20}{24} and \frac{49}{24} have the same denominator, add them by adding their numerators.

$$\frac{20+49}{24}$$

Add 20 and 49 to get 69.

$$\frac{69}{24}$$

Reduce the fraction \frac{69}{24} to lowest terms by extracting and canceling out 3.

$$\frac{23}{8}$$

Factor

$$\frac{23}{2 ^ {3}} = 2\frac{7}{8} = 2.875$$