Solve {l}{3/24+-5/24=-1/12}{29-9=2}

$$\left. \begin{array} { l } { \frac { 3 } { 24 } + \frac { - 5 } { 24 } = - \frac { 1 } { 12 } } \\ { 29 - 9 = 2 } \end{array} \right.$$

Verify

Solution Steps

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}+\frac{-5}{24}=-\frac{1}{12}\text{ and }29-9=2$$

Fraction \frac{-5}{24} can be rewritten as -\frac{5}{24} by extracting the negative sign.

$$\frac{1}{8}-\frac{5}{24}=-\frac{1}{12}\text{ and }29-9=2$$

Least common multiple of 8 and 24 is 24. Convert \frac{1}{8} and \frac{5}{24} to fractions with denominator 24.

$$\frac{3}{24}-\frac{5}{24}=-\frac{1}{12}\text{ and }29-9=2$$

Since \frac{3}{24} and \frac{5}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-5}{24}=-\frac{1}{12}\text{ and }29-9=2$$

Subtract 5 from 3 to get -2.

$$\frac{-2}{24}=-\frac{1}{12}\text{ and }29-9=2$$

Reduce the fraction \frac{-2}{24} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{12}=-\frac{1}{12}\text{ and }29-9=2$$

Compare -\frac{1}{12} and -\frac{1}{12}.

$$\text{true}\text{ and }29-9=2$$

Subtract 9 from 29 to get 20.

$$\text{true}\text{ and }20=2$$

Compare 20 and 2.

$$\text{true}\text{ and }\text{false}$$

The conjunction of \text{true} and \text{false} is \text{false}.

$$\text{false}$$