Solve (5/4+1/3)*1/2=

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

Evaluate

$$\frac{19}{24}\approx 0.791666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{1}{3} to fractions with denominator 12.

$$\left(\frac{15}{12}+\frac{4}{12}\right)\times \frac{1}{2}$$

Since \frac{15}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{12}\times \frac{1}{2}$$

Add 15 and 4 to get 19.

$$\frac{19}{12}\times \frac{1}{2}$$

Multiply \frac{19}{12} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 1}{12\times 2}$$

Do the multiplications in the fraction \frac{19\times 1}{12\times 2}.

$$\frac{19}{24}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 3} = 0.7916666666666666$$