Solve 1/9-5/12=16/36-15/36=frac{1}{36}

$$\frac { 1 } { 9 } - \frac { 5 } { 12 } = \frac { 16 } { 36 } - \frac { 15 } { 36 } = \frac { 1 } { 36 }$$

Verify

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{1}{9} and \frac{5}{12} to fractions with denominator 36.

$$\frac{4}{36}-\frac{15}{36}=\frac{16}{36}-\frac{15}{36}\text{ and }\frac{16}{36}-\frac{15}{36}=\frac{1}{36}$$

Since \frac{4}{36} and \frac{15}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-15}{36}=\frac{16}{36}-\frac{15}{36}\text{ and }\frac{16}{36}-\frac{15}{36}=\frac{1}{36}$$

Subtract 15 from 4 to get -11.

$$-\frac{11}{36}=\frac{16}{36}-\frac{15}{36}\text{ and }\frac{16}{36}-\frac{15}{36}=\frac{1}{36}$$

Since \frac{16}{36} and \frac{15}{36} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{11}{36}=\frac{16-15}{36}\text{ and }\frac{16}{36}-\frac{15}{36}=\frac{1}{36}$$

Subtract 15 from 16 to get 1.

$$-\frac{11}{36}=\frac{1}{36}\text{ and }\frac{16}{36}-\frac{15}{36}=\frac{1}{36}$$

Compare -\frac{11}{36} and \frac{1}{36}.

$$\text{false}\text{ and }\frac{16}{36}-\frac{15}{36}=\frac{1}{36}$$

Since \frac{16}{36} and \frac{15}{36} have the same denominator, subtract them by subtracting their numerators.

$$\text{false}\text{ and }\frac{16-15}{36}=\frac{1}{36}$$

Subtract 15 from 16 to get 1.

$$\text{false}\text{ and }\frac{1}{36}=\frac{1}{36}$$

Compare \frac{1}{36} and \frac{1}{36}.

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

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

$$\text{false}$$