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

$$\frac { 1 } { 2 } \cdot 2 + \frac { 1 } { 3 } \cdot 4 + 5 \cdot \frac { 1 } { 4 }$$

Evaluate

$$\frac{43}{12}\approx 3.583333333$$

Solution Steps

Cancel out 2 and 2.

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

Multiply \frac{1}{3} and 4 to get \frac{4}{3}.

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

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 to get 7.

$$\frac{7}{3}+5\times \frac{1}{4}$$

Multiply 5 and \frac{1}{4} to get \frac{5}{4}.

$$\frac{7}{3}+\frac{5}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{7}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{28}{12}+\frac{15}{12}$$

Since \frac{28}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{28+15}{12}$$

Add 28 and 15 to get 43.

$$\frac{43}{12}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 3} = 3\frac{7}{12} = 3.5833333333333335$$