Solve 27/12+(-23/10)

$$2 \frac { 7 } { 12 } + ( - 2 \frac { 3 } { 10 } )$$

Evaluate

$$\frac{17}{60}\approx 0.283333333$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{24+7}{12}-\frac{2\times 10+3}{10}$$

Add 24 and 7 to get 31.

$$\frac{31}{12}-\frac{2\times 10+3}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{31}{12}-\frac{20+3}{10}$$

Add 20 and 3 to get 23.

$$\frac{31}{12}-\frac{23}{10}$$

Least common multiple of 12 and 10 is 60. Convert \frac{31}{12} and \frac{23}{10} to fractions with denominator 60.

$$\frac{155}{60}-\frac{138}{60}$$

Since \frac{155}{60} and \frac{138}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-138}{60}$$

Subtract 138 from 155 to get 17.

$$\frac{17}{60}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3 \cdot 5} = 0.2833333333333333$$