Solve decimals .] (b) 5/7, - 7/25, 9/- 4, - 6/5, 8/11 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\left. \begin{array} { l } { \frac { 5 } { 7 } , \frac { - 7 } { 25 } , \frac { 9 } { - 4 } , \frac { - 6 } { 5 } , \frac { 8 } { 11 } } \end{array} \right.$$

Sort

$-\frac{9}{4},-\frac{6}{5},-\frac{7}{25},\frac{5}{7},\frac{8}{11}$

Solution Steps

Fraction $\frac{-7}{25}$ can be rewritten as $-\frac{7}{25}$ by extracting the negative sign.

$$sort(\frac{5}{7},-\frac{7}{25},\frac{9}{-4},\frac{-6}{5},\frac{8}{11})$$

Fraction $\frac{9}{-4}$ can be rewritten as $-\frac{9}{4}$ by extracting the negative sign.

$$sort(\frac{5}{7},-\frac{7}{25},-\frac{9}{4},\frac{-6}{5},\frac{8}{11})$$

Fraction $\frac{-6}{5}$ can be rewritten as $-\frac{6}{5}$ by extracting the negative sign.

$$sort(\frac{5}{7},-\frac{7}{25},-\frac{9}{4},-\frac{6}{5},\frac{8}{11})$$

Least common denominator of the numbers in the list $\frac{5}{7},-\frac{7}{25},-\frac{9}{4},-\frac{6}{5},\frac{8}{11}$ is $7700$. Convert numbers in the list to fractions with denominator $7700$.

$$\frac{5500}{7700},-\frac{2156}{7700},-\frac{17325}{7700},-\frac{9240}{7700},\frac{5600}{7700}$$

To sort the list, start from a single element $\frac{5500}{7700}$.

$$\frac{5500}{7700}$$

Insert $-\frac{2156}{7700}$ to the appropriate location in the new list.

$$-\frac{2156}{7700},\frac{5500}{7700}$$

Insert $-\frac{17325}{7700}$ to the appropriate location in the new list.

$$-\frac{17325}{7700},-\frac{2156}{7700},\frac{5500}{7700}$$

Insert $-\frac{9240}{7700}$ to the appropriate location in the new list.

$$-\frac{17325}{7700},-\frac{9240}{7700},-\frac{2156}{7700},\frac{5500}{7700}$$

Insert $\frac{5600}{7700}$ to the appropriate location in the new list.

$$-\frac{17325}{7700},-\frac{9240}{7700},-\frac{2156}{7700},\frac{5500}{7700},\frac{5600}{7700}$$

Replace the obtained fractions with the initial values.

$$-\frac{9}{4},-\frac{6}{5},-\frac{7}{25},\frac{5}{7},\frac{8}{11}$$

Evaluate

$\frac{5}{7},\ -\frac{7}{25},\ -\frac{9}{4},\ -\frac{6}{5},\ \frac{8}{11}$