Solve f(c)=23/4+(-11/2)-(-12/3)

$$f ( c ) = 2 \frac { 3 } { 4 } + ( - 1 \frac { 1 } { 2 } ) - ( - 1 \frac { 2 } { 3 } )$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}-\frac{1\times 2+1}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\frac{1\times 2+1}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

Multiply 1 and 2 to get 2.

$$\frac{11}{4}-\frac{2+1}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

Add 2 and 1 to get 3.

$$\frac{11}{4}-\frac{3}{2}-\left(-\frac{1\times 3+2}{3}\right)$$

Least common multiple of 4 and 2 is 4. Convert \frac{11}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{11}{4}-\frac{6}{4}-\left(-\frac{1\times 3+2}{3}\right)$$

Since \frac{11}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-6}{4}-\left(-\frac{1\times 3+2}{3}\right)$$

Subtract 6 from 11 to get 5.

$$\frac{5}{4}-\left(-\frac{1\times 3+2}{3}\right)$$

Multiply 1 and 3 to get 3.

$$\frac{5}{4}-\left(-\frac{3+2}{3}\right)$$

Add 3 and 2 to get 5.

$$\frac{5}{4}-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

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

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

$$\frac{15}{12}+\frac{20}{12}$$

Since \frac{15}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+20}{12}$$

Add 15 and 20 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$