Solve 1/2*3/4+5/6=

$$\frac { 1 } { 2 } \times \frac { 3 } { 4 } + \frac { 5 } { 6 } =$$

Evaluate

$$\frac{29}{24}\approx 1.208333333$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 4}+\frac{5}{6}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 4}.

$$\frac{3}{8}+\frac{5}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{9}{24}+\frac{20}{24}$$

Since \frac{9}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{24}$$

Add 9 and 20 to get 29.

$$\frac{29}{24}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$