Solve Arrage following Freactions in decending = q 10 23,3 8 | 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

$$\frac { 1 } { 2 } , \frac { 3 } { 3 } , \frac { 3 } { 4 } , \frac { 7 } { 6 } , \frac { 7 } { 8 } , \frac { 7 } { 10 }$$

Sort

$\frac{1}{2},\frac{7}{10},\frac{3}{4},\frac{7}{8},1,\frac{7}{6}$

Solution Steps

Divide $3$ by $3$ to get $1$.

$$sort(\frac{1}{2},1,\frac{3}{4},\frac{7}{6},\frac{7}{8},\frac{7}{10})$$

Convert decimal numbers in the list $\frac{1}{2},1,\frac{3}{4},\frac{7}{6},\frac{7}{8},\frac{7}{10}$ to fractions.

$$\frac{1}{2},1,\frac{3}{4},\frac{7}{6},\frac{7}{8},\frac{7}{10}$$

Least common denominator of the numbers in the list $\frac{1}{2},1,\frac{3}{4},\frac{7}{6},\frac{7}{8},\frac{7}{10}$ is $120$. Convert numbers in the list to fractions with denominator $120$.

$$\frac{60}{120},\frac{120}{120},\frac{90}{120},\frac{140}{120},\frac{105}{120},\frac{84}{120}$$

To sort the list, start from a single element $\frac{60}{120}$.

$$\frac{60}{120}$$

Insert $\frac{120}{120}$ to the appropriate location in the new list.

$$\frac{60}{120},\frac{120}{120}$$

Insert $\frac{90}{120}$ to the appropriate location in the new list.

$$\frac{60}{120},\frac{90}{120},\frac{120}{120}$$

Insert $\frac{140}{120}$ to the appropriate location in the new list.

$$\frac{60}{120},\frac{90}{120},\frac{120}{120},\frac{140}{120}$$

Insert $\frac{105}{120}$ to the appropriate location in the new list.

$$\frac{60}{120},\frac{90}{120},\frac{105}{120},\frac{120}{120},\frac{140}{120}$$

Insert $\frac{84}{120}$ to the appropriate location in the new list.

$$\frac{60}{120},\frac{84}{120},\frac{90}{120},\frac{105}{120},\frac{120}{120},\frac{140}{120}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{2},\frac{7}{10},\frac{3}{4},\frac{7}{8},1,\frac{7}{6}$$

Evaluate

$\frac{1}{2},1,\frac{3}{4},\frac{7}{6},\frac{7}{8},\frac{7}{10}$