Solve B7 Circle the unlike fractions . 1/6; 2/5; 7/9, 1/9; 5/11, 11/5; 3/8, 7/8; 3/4, 3/7; 3/13, 5/13 F | 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

$$\left. \begin{array} { l } { 0 , \frac { 1 } { 6 } , \frac { 2 } { 5 } } \\ { 0 , \frac { 1 } { 5 } , \frac { 11 } { 5 } } \\ { 0 , \frac { 5 } { 11 } , \frac { 11 } { 5 } } \end{array} \right.$$

Sort

$0,0,0,\frac{1}{6},\frac{1}{5},\frac{2}{5},\frac{5}{11},\frac{11}{5},\frac{11}{5}$

Solution Steps

Convert decimal numbers in the list $0,\frac{1}{6},\frac{2}{5},0,\frac{1}{5},\frac{11}{5},0,\frac{5}{11},\frac{11}{5}$ to fractions.

$$0,\frac{1}{6},\frac{2}{5},0,\frac{1}{5},\frac{11}{5},0,\frac{5}{11},\frac{11}{5}$$

Least common denominator of the numbers in the list $0,\frac{1}{6},\frac{2}{5},0,\frac{1}{5},\frac{11}{5},0,\frac{5}{11},\frac{11}{5}$ is $330$. Convert numbers in the list to fractions with denominator $330$.

$$0,\frac{55}{330},\frac{132}{330},0,\frac{66}{330},\frac{726}{330},0,\frac{150}{330},\frac{726}{330}$$

To sort the list, start from a single element $0$.

$$0$$

Insert $\frac{55}{330}$ to the appropriate location in the new list.

$$0,\frac{55}{330}$$

Insert $\frac{132}{330}$ to the appropriate location in the new list.

$$0,\frac{55}{330},\frac{132}{330}$$

Insert $0$ to the appropriate location in the new list.

$$0,0,\frac{55}{330},\frac{132}{330}$$

Insert $\frac{66}{330}$ to the appropriate location in the new list.

$$0,0,\frac{55}{330},\frac{66}{330},\frac{132}{330}$$

Insert $\frac{726}{330}$ to the appropriate location in the new list.

$$0,0,\frac{55}{330},\frac{66}{330},\frac{132}{330},\frac{726}{330}$$

Insert $0$ to the appropriate location in the new list.

$$0,0,0,\frac{55}{330},\frac{66}{330},\frac{132}{330},\frac{726}{330}$$

Insert $\frac{150}{330}$ to the appropriate location in the new list.

$$0,0,0,\frac{55}{330},\frac{66}{330},\frac{132}{330},\frac{150}{330},\frac{726}{330}$$

Insert $\frac{726}{330}$ to the appropriate location in the new list.

$$0,0,0,\frac{55}{330},\frac{66}{330},\frac{132}{330},\frac{150}{330},\frac{726}{330},\frac{726}{330}$$

Replace the obtained fractions with the initial values.

$$0,0,0,\frac{1}{6},\frac{1}{5},\frac{2}{5},\frac{5}{11},\frac{11}{5},\frac{11}{5}$$

Evaluate

$0,\ \frac{1}{6},\ \frac{2}{5},\ 0,\ \frac{1}{5},\ \frac{11}{5},\ 0,\ \frac{5}{11},\ \frac{11}{5}$