Solve 3/2+1/3*1/4

$$\frac { 3 } { 2 } + \frac { 1 } { 3 } \cdot \frac { 1 } { 4 }$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

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

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

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

$$\frac{3}{2}+\frac{1}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{3}{2} and \frac{1}{12} to fractions with denominator 12.

$$\frac{18}{12}+\frac{1}{12}$$

Since \frac{18}{12} and \frac{1}{12} have the same denominator, add them by adding their numerators.

$$\frac{18+1}{12}$$

Add 18 and 1 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$