Solve {l}{18/5=3/5}{15/4=33/11}

$$\left. \begin{array} { l } { \frac { 18 } { 5 } = \frac { 3 } { 5 } } \\ { \frac { 15 } { 4 } = 3 \frac { 3 } { 11 } } \end{array} \right.$$

Verify

Solution Steps

Compare \frac{18}{5} and \frac{3}{5}.

$$\text{false}\text{ and }\frac{15}{4}=\frac{3\times 11+3}{11}$$

Multiply 3 and 11 to get 33.

$$\text{false}\text{ and }\frac{15}{4}=\frac{33+3}{11}$$

Add 33 and 3 to get 36.

$$\text{false}\text{ and }\frac{15}{4}=\frac{36}{11}$$

Least common multiple of 4 and 11 is 44. Convert \frac{15}{4} and \frac{36}{11} to fractions with denominator 44.

$$\text{false}\text{ and }\frac{165}{44}=\frac{144}{44}$$

Compare \frac{165}{44} and \frac{144}{44}.

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

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

$$\text{false}$$