Solve {l}{1/4+2/5}{1/4*1/5}

$$\left. \begin{array} { l } { \frac { 1 } { 4 } + \frac { 2 } { 5 } } \\ { \frac { 1 } { 4 } \times \frac { 1 } { 5 } } \end{array} \right.$$

Sort

$$\frac{1}{20},\frac{13}{20}$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{2}{5} to fractions with denominator 20.

$$sort(\frac{5}{20}+\frac{8}{20},\frac{1}{4}\times \frac{1}{5})$$

Since \frac{5}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$sort(\frac{5+8}{20},\frac{1}{4}\times \frac{1}{5})$$

Add 5 and 8 to get 13.

$$sort(\frac{13}{20},\frac{1}{4}\times \frac{1}{5})$$

Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{13}{20},\frac{1\times 1}{4\times 5})$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.

$$sort(\frac{13}{20},\frac{1}{20})$$

To sort the list, start from a single element \frac{13}{20}.

$$\frac{13}{20}$$

Insert \frac{1}{20} to the appropriate location in the new list.

$$\frac{1}{20},\frac{13}{20}$$

Evaluate

$$\frac{13}{20},\ \frac{1}{20}$$