Solve 4/7,-5/8,3/14

$$\frac { 4 } { 7 } , \frac { - 5 } { 8 } , \frac { 3 } { 14 }$$

Sort

$$-\frac{5}{8},\frac{3}{14},\frac{4}{7}$$

Solution Steps

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$sort(\frac{4}{7},-\frac{5}{8},\frac{3}{14})$$

Least common denominator of the numbers in the list \frac{4}{7},-\frac{5}{8},\frac{3}{14} is 56. Convert numbers in the list to fractions with denominator 56.

$$\frac{32}{56},-\frac{35}{56},\frac{12}{56}$$

To sort the list, start from a single element \frac{32}{56}.

$$\frac{32}{56}$$

Insert -\frac{35}{56} to the appropriate location in the new list.

$$-\frac{35}{56},\frac{32}{56}$$

Insert \frac{12}{56} to the appropriate location in the new list.

$$-\frac{35}{56},\frac{12}{56},\frac{32}{56}$$

Replace the obtained fractions with the initial values.

$$-\frac{5}{8},\frac{3}{14},\frac{4}{7}$$

Evaluate

$$\frac{4}{7},-\frac{5}{8},\frac{3}{14}$$