Solve {l}{1/30*3}{18*13/48}

$$\left. \begin{array} { l } { \frac { 1 } { 30 } \cdot 3 } \\ { 18 \cdot \frac { 13 } { 48 } } \end{array} \right.$$

Sort

$$\frac{1}{10},\ \frac{39}{8}$$

Solution Steps

Multiply \frac{1}{30} and 3 to get \frac{3}{30}.

$$sort(\frac{3}{30},18\times \frac{13}{48})$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

$$sort(\frac{1}{10},18\times \frac{13}{48})$$

Express 18\times \frac{13}{48} as a single fraction.

$$sort(\frac{1}{10},\frac{18\times 13}{48})$$

Multiply 18 and 13 to get 234.

$$sort(\frac{1}{10},\frac{234}{48})$$

Reduce the fraction \frac{234}{48} to lowest terms by extracting and canceling out 6.

$$sort(\frac{1}{10},\frac{39}{8})$$

Least common denominator of the numbers in the list \frac{1}{10},\frac{39}{8} is 40. Convert numbers in the list to fractions with denominator 40.

$$\frac{4}{40},\frac{195}{40}$$

Evaluate

$$\frac{1}{10},\ \frac{39}{8}$$