Solve 3-11/6+13/4

$$3 - 1 \frac { 1 } { 6 } + 1 \frac { 3 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 1 and 6 to get 6.

$$3-\frac{6+1}{6}+\frac{1\times 4+3}{4}$$

Add 6 and 1 to get 7.

$$3-\frac{7}{6}+\frac{1\times 4+3}{4}$$

Convert 3 to fraction \frac{18}{6}.

$$\frac{18}{6}-\frac{7}{6}+\frac{1\times 4+3}{4}$$

Since \frac{18}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-7}{6}+\frac{1\times 4+3}{4}$$

Subtract 7 from 18 to get 11.

$$\frac{11}{6}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{11}{6}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{11}{6}+\frac{7}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{7}{4} to fractions with denominator 12.

$$\frac{22}{12}+\frac{21}{12}$$

Since \frac{22}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{22+21}{12}$$

Add 22 and 21 to get 43.

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

Factor

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