Solve 门 - 3/7 - 11/14 + 16/28 - 29/42 | 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

$$\frac { - 3 } { 7 } , - \frac { 11 } { 14 } , \frac { 16 } { 28 } , \frac { - 29 } { 42 }$$

Sort

$-\frac{11}{14},-\frac{29}{42},-\frac{3}{7},\frac{4}{7}$

Solution Steps

Fraction $\frac{-3}{7}$ can be rewritten as $-\frac{3}{7}$ by extracting the negative sign.

$$sort(-\frac{3}{7},-\frac{11}{14},\frac{16}{28},\frac{-29}{42})$$

Reduce the fraction $\frac{16}{28}$ to lowest terms by extracting and canceling out $4$.

$$sort(-\frac{3}{7},-\frac{11}{14},\frac{4}{7},\frac{-29}{42})$$

Fraction $\frac{-29}{42}$ can be rewritten as $-\frac{29}{42}$ by extracting the negative sign.

$$sort(-\frac{3}{7},-\frac{11}{14},\frac{4}{7},-\frac{29}{42})$$

Least common denominator of the numbers in the list $-\frac{3}{7},-\frac{11}{14},\frac{4}{7},-\frac{29}{42}$ is $42$. Convert numbers in the list to fractions with denominator $42$.

$$-\frac{18}{42},-\frac{33}{42},\frac{24}{42},-\frac{29}{42}$$

To sort the list, start from a single element $-\frac{18}{42}$.

$$-\frac{18}{42}$$

Insert $-\frac{33}{42}$ to the appropriate location in the new list.

$$-\frac{33}{42},-\frac{18}{42}$$

Insert $\frac{24}{42}$ to the appropriate location in the new list.

$$-\frac{33}{42},-\frac{18}{42},\frac{24}{42}$$

Insert $-\frac{29}{42}$ to the appropriate location in the new list.

$$-\frac{33}{42},-\frac{29}{42},-\frac{18}{42},\frac{24}{42}$$

Replace the obtained fractions with the initial values.

$$-\frac{11}{14},-\frac{29}{42},-\frac{3}{7},\frac{4}{7}$$

Evaluate

$-\frac{3}{7},-\frac{11}{14},\frac{4}{7},-\frac{29}{42}$