Solve 11/4+-35/6=

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

Evaluate

$$-\frac{31}{12}\approx -2.583333333$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{5}{4}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{5}{4}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{5}{4}-\frac{23}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{23}{6} to fractions with denominator 12.

$$\frac{15}{12}-\frac{46}{12}$$

Since \frac{15}{12} and \frac{46}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-46}{12}$$

Subtract 46 from 15 to get -31.

$$-\frac{31}{12}$$

Factor

$$-\frac{31}{12} = -2\frac{7}{12} = -2.5833333333333335$$