Solve {l}{3/9+5/6=1}{9/9-5/6=1}

$$\left. \begin{array} { l } { \frac { 3 } { 9 } + \frac { 5 } { 6 } = 1 } \\ { \frac { 9 } { 9 } - \frac { 5 } { 6 } = 1 } \end{array} \right.$$

Verify

Solution Steps

Divide 9 by 9 to get 1.

$$\frac{3}{9}+\frac{5}{6}=1\text{ and }1-\frac{5}{6}=1$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{2}{6}+\frac{5}{6}=1\text{ and }1-\frac{5}{6}=1$$

Since \frac{2}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{6}=1\text{ and }1-\frac{5}{6}=1$$

Add 2 and 5 to get 7.

$$\frac{7}{6}=1\text{ and }1-\frac{5}{6}=1$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{7}{6}=\frac{6}{6}\text{ and }1-\frac{5}{6}=1$$

Compare \frac{7}{6} and \frac{6}{6}.

$$\text{false}\text{ and }1-\frac{5}{6}=1$$

Convert 1 to fraction \frac{6}{6}.

$$\text{false}\text{ and }\frac{6}{6}-\frac{5}{6}=1$$

Since \frac{6}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\text{false}\text{ and }\frac{6-5}{6}=1$$

Subtract 5 from 6 to get 1.

$$\text{false}\text{ and }\frac{1}{6}=1$$

Convert 1 to fraction \frac{6}{6}.

$$\text{false}\text{ and }\frac{1}{6}=\frac{6}{6}$$

Compare \frac{1}{6} and \frac{6}{6}.

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

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

$$\text{false}$$