Solve b. 5/6, 5/11, 5/8, 5/2, 5/14, 5/19 | 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

$$\frac { 5 } { 6 } , \frac { 5 } { 11 } , \frac { 5 } { 8 } , \frac { 5 } { 2 } , \frac { 5 } { 14 } , \frac { 5 } { 19 }$$

Sort

$\frac{5}{19},\frac{5}{14},\frac{5}{11},\frac{5}{8},\frac{5}{6},\frac{5}{2}$

Solution Steps

Least common denominator of the numbers in the list $\frac{5}{6},\frac{5}{11},\frac{5}{8},\frac{5}{2},\frac{5}{14},\frac{5}{19}$ is $35112$. Convert numbers in the list to fractions with denominator $35112$.

$$\frac{29260}{35112},\frac{15960}{35112},\frac{21945}{35112},\frac{87780}{35112},\frac{12540}{35112},\frac{9240}{35112}$$

To sort the list, start from a single element $\frac{29260}{35112}$.

$$\frac{29260}{35112}$$

Insert $\frac{15960}{35112}$ to the appropriate location in the new list.

$$\frac{15960}{35112},\frac{29260}{35112}$$

Insert $\frac{21945}{35112}$ to the appropriate location in the new list.

$$\frac{15960}{35112},\frac{21945}{35112},\frac{29260}{35112}$$

Insert $\frac{87780}{35112}$ to the appropriate location in the new list.

$$\frac{15960}{35112},\frac{21945}{35112},\frac{29260}{35112},\frac{87780}{35112}$$

Insert $\frac{12540}{35112}$ to the appropriate location in the new list.

$$\frac{12540}{35112},\frac{15960}{35112},\frac{21945}{35112},\frac{29260}{35112},\frac{87780}{35112}$$

Insert $\frac{9240}{35112}$ to the appropriate location in the new list.

$$\frac{9240}{35112},\frac{12540}{35112},\frac{15960}{35112},\frac{21945}{35112},\frac{29260}{35112},\frac{87780}{35112}$$

Replace the obtained fractions with the initial values.

$$\frac{5}{19},\frac{5}{14},\frac{5}{11},\frac{5}{8},\frac{5}{6},\frac{5}{2}$$

Evaluate

$\frac{5}{6},\frac{5}{11},\frac{5}{8},\frac{5}{2},\frac{5}{14},\frac{5}{19}$