Solve Plot the following fractions on a number line. Draw your answer on the given box 2/5; 1 3/4; 7/10; 2 3/5; 2/4 3. 4.2 5 . | 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

$$\left. \begin{array} { l } { 1 \frac { 2 } { 2 } } \\ { 21 \frac { 2 } { 10 } } \\ { 3 \frac { 2 } { 10 } } \\ { 42 \frac { 2 } { 10 } } \\ { 5 \frac { 2 } { 4 } } \end{array} \right.$$

Sort

$2,\frac{16}{5},\frac{11}{2},\frac{106}{5},\frac{211}{5}$

Solution Steps

Multiply $1$ and $2$ to get $2$.

$$sort(\frac{2+2}{2},\frac{21\times 10+2}{10},\frac{3\times 10+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Add $2$ and $2$ to get $4$.

$$sort(\frac{4}{2},\frac{21\times 10+2}{10},\frac{3\times 10+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Divide $4$ by $2$ to get $2$.

$$sort(2,\frac{21\times 10+2}{10},\frac{3\times 10+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Multiply $21$ and $10$ to get $210$.

$$sort(2,\frac{210+2}{10},\frac{3\times 10+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Add $210$ and $2$ to get $212$.

$$sort(2,\frac{212}{10},\frac{3\times 10+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Reduce the fraction $\frac{212}{10}$ to lowest terms by extracting and canceling out $2$.

$$sort(2,\frac{106}{5},\frac{3\times 10+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Multiply $3$ and $10$ to get $30$.

$$sort(2,\frac{106}{5},\frac{30+2}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Add $30$ and $2$ to get $32$.

$$sort(2,\frac{106}{5},\frac{32}{10},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Reduce the fraction $\frac{32}{10}$ to lowest terms by extracting and canceling out $2$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{42\times 10+2}{10},\frac{5\times 4+2}{4})$$

Multiply $42$ and $10$ to get $420$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{420+2}{10},\frac{5\times 4+2}{4})$$

Add $420$ and $2$ to get $422$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{422}{10},\frac{5\times 4+2}{4})$$

Reduce the fraction $\frac{422}{10}$ to lowest terms by extracting and canceling out $2$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{5\times 4+2}{4})$$

Multiply $5$ and $4$ to get $20$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{20+2}{4})$$

Add $20$ and $2$ to get $22$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{22}{4})$$

Reduce the fraction $\frac{22}{4}$ to lowest terms by extracting and canceling out $2$.

$$sort(2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{11}{2})$$

Convert decimal numbers in the list $2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{11}{2}$ to fractions.

$$2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{11}{2}$$

Least common denominator of the numbers in the list $2,\frac{106}{5},\frac{16}{5},\frac{211}{5},\frac{11}{2}$ is $10$. Convert numbers in the list to fractions with denominator $10$.

$$\frac{20}{10},\frac{212}{10},\frac{32}{10},\frac{422}{10},\frac{55}{10}$$

To sort the list, start from a single element $\frac{20}{10}$.

$$\frac{20}{10}$$

Insert $\frac{212}{10}$ to the appropriate location in the new list.

$$\frac{20}{10},\frac{212}{10}$$

Insert $\frac{32}{10}$ to the appropriate location in the new list.

$$\frac{20}{10},\frac{32}{10},\frac{212}{10}$$

Insert $\frac{422}{10}$ to the appropriate location in the new list.

$$\frac{20}{10},\frac{32}{10},\frac{212}{10},\frac{422}{10}$$

Insert $\frac{55}{10}$ to the appropriate location in the new list.

$$\frac{20}{10},\frac{32}{10},\frac{55}{10},\frac{212}{10},\frac{422}{10}$$

Replace the obtained fractions with the initial values.

$$2,\frac{16}{5},\frac{11}{2},\frac{106}{5},\frac{211}{5}$$

Evaluate

$2,\ \frac{106}{5},\ \frac{16}{5},\ \frac{211}{5},\ \frac{11}{2}$