Solve 3/8,-3/11,-3/-13,-17/6,frac{9}{-20},-4,7

$$\frac { 3 } { 8 } , \frac { - 3 } { 11 } , \frac { - 3 } { - 13 } , \frac { - 17 } { 6 } , \frac { 9 } { - 20 } , - 4,7$$

Sort

$$-4,-\frac{17}{6},-\frac{9}{20},-\frac{3}{11},\frac{3}{13},\frac{3}{8},7$$

Solution Steps

Fraction \frac{-3}{11} can be rewritten as -\frac{3}{11} by extracting the negative sign.

$$sort(\frac{3}{8},-\frac{3}{11},\frac{-3}{-13},\frac{-17}{6},\frac{9}{-20},-4,7)$$

Fraction \frac{-3}{-13} can be simplified to \frac{3}{13} by removing the negative sign from both the numerator and the denominator.

$$sort(\frac{3}{8},-\frac{3}{11},\frac{3}{13},\frac{-17}{6},\frac{9}{-20},-4,7)$$

Fraction \frac{-17}{6} can be rewritten as -\frac{17}{6} by extracting the negative sign.

$$sort(\frac{3}{8},-\frac{3}{11},\frac{3}{13},-\frac{17}{6},\frac{9}{-20},-4,7)$$

Fraction \frac{9}{-20} can be rewritten as -\frac{9}{20} by extracting the negative sign.

$$sort(\frac{3}{8},-\frac{3}{11},\frac{3}{13},-\frac{17}{6},-\frac{9}{20},-4,7)$$

Convert decimal numbers in the list \frac{3}{8},-\frac{3}{11},\frac{3}{13},-\frac{17}{6},-\frac{9}{20},-4,7 to fractions.

$$\frac{3}{8},-\frac{3}{11},\frac{3}{13},-\frac{17}{6},-\frac{9}{20},-4,7$$

Least common denominator of the numbers in the list \frac{3}{8},-\frac{3}{11},\frac{3}{13},-\frac{17}{6},-\frac{9}{20},-4,7 is 17160. Convert numbers in the list to fractions with denominator 17160.

$$\frac{6435}{17160},-\frac{4680}{17160},\frac{3960}{17160},-\frac{48620}{17160},-\frac{7722}{17160},-\frac{68640}{17160},\frac{120120}{17160}$$

To sort the list, start from a single element \frac{6435}{17160}.

$$\frac{6435}{17160}$$

Insert -\frac{4680}{17160} to the appropriate location in the new list.

$$-\frac{4680}{17160},\frac{6435}{17160}$$

Insert \frac{3960}{17160} to the appropriate location in the new list.

$$-\frac{4680}{17160},\frac{3960}{17160},\frac{6435}{17160}$$

Insert -\frac{48620}{17160} to the appropriate location in the new list.

$$-\frac{48620}{17160},-\frac{4680}{17160},\frac{3960}{17160},\frac{6435}{17160}$$

Insert -\frac{7722}{17160} to the appropriate location in the new list.

$$-\frac{48620}{17160},-\frac{7722}{17160},-\frac{4680}{17160},\frac{3960}{17160},\frac{6435}{17160}$$

Insert -\frac{68640}{17160} to the appropriate location in the new list.

$$-\frac{68640}{17160},-\frac{48620}{17160},-\frac{7722}{17160},-\frac{4680}{17160},\frac{3960}{17160},\frac{6435}{17160}$$

Insert \frac{120120}{17160} to the appropriate location in the new list.

$$-\frac{68640}{17160},-\frac{48620}{17160},-\frac{7722}{17160},-\frac{4680}{17160},\frac{3960}{17160},\frac{6435}{17160},\frac{120120}{17160}$$

Replace the obtained fractions with the initial values.

$$-4,-\frac{17}{6},-\frac{9}{20},-\frac{3}{11},\frac{3}{13},\frac{3}{8},7$$

Evaluate

$$\frac{3}{8},-\frac{3}{11},\frac{3}{13},-\frac{17}{6},-\frac{9}{20},-4,7$$