Solve Convert . 1 2/3, 3 4/5, 2 5/11, 8 3/7 into improper fractions ( between the | 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

$$1 \frac { 2 } { 3 } , 3 \frac { 4 } { 8 } , 2 \frac { 5 } { 11 } , 8 \frac { 3 } { 1 }$$

Sort

$\frac{5}{3},\frac{27}{11},\frac{7}{2},11$

Solution Steps

Multiply $1$ and $3$ to get $3$.

$$sort(\frac{3+2}{3},\frac{3\times 8+4}{8},\frac{2\times 11+5}{11},\frac{8\times 1+3}{1})$$

Add $3$ and $2$ to get $5$.

$$sort(\frac{5}{3},\frac{3\times 8+4}{8},\frac{2\times 11+5}{11},\frac{8\times 1+3}{1})$$

Multiply $3$ and $8$ to get $24$.

$$sort(\frac{5}{3},\frac{24+4}{8},\frac{2\times 11+5}{11},\frac{8\times 1+3}{1})$$

Add $24$ and $4$ to get $28$.

$$sort(\frac{5}{3},\frac{28}{8},\frac{2\times 11+5}{11},\frac{8\times 1+3}{1})$$

Reduce the fraction $\frac{28}{8}$ to lowest terms by extracting and canceling out $4$.

$$sort(\frac{5}{3},\frac{7}{2},\frac{2\times 11+5}{11},\frac{8\times 1+3}{1})$$

Multiply $2$ and $11$ to get $22$.

$$sort(\frac{5}{3},\frac{7}{2},\frac{22+5}{11},\frac{8\times 1+3}{1})$$

Add $22$ and $5$ to get $27$.

$$sort(\frac{5}{3},\frac{7}{2},\frac{27}{11},\frac{8\times 1+3}{1})$$

Multiply $8$ and $1$ to get $8$.

$$sort(\frac{5}{3},\frac{7}{2},\frac{27}{11},\frac{8+3}{1})$$

Add $8$ and $3$ to get $11$.

$$sort(\frac{5}{3},\frac{7}{2},\frac{27}{11},\frac{11}{1})$$

Anything divided by one gives itself.

$$sort(\frac{5}{3},\frac{7}{2},\frac{27}{11},11)$$

Convert decimal numbers in the list $\frac{5}{3},\frac{7}{2},\frac{27}{11},11$ to fractions.

$$\frac{5}{3},\frac{7}{2},\frac{27}{11},11$$

Least common denominator of the numbers in the list $\frac{5}{3},\frac{7}{2},\frac{27}{11},11$ is $66$. Convert numbers in the list to fractions with denominator $66$.

$$\frac{110}{66},\frac{231}{66},\frac{162}{66},\frac{726}{66}$$

To sort the list, start from a single element $\frac{110}{66}$.

$$\frac{110}{66}$$

Insert $\frac{231}{66}$ to the appropriate location in the new list.

$$\frac{110}{66},\frac{231}{66}$$

Insert $\frac{162}{66}$ to the appropriate location in the new list.

$$\frac{110}{66},\frac{162}{66},\frac{231}{66}$$

Insert $\frac{726}{66}$ to the appropriate location in the new list.

$$\frac{110}{66},\frac{162}{66},\frac{231}{66},\frac{726}{66}$$

Replace the obtained fractions with the initial values.

$$\frac{5}{3},\frac{27}{11},\frac{7}{2},11$$

Evaluate

$\frac{5}{3},\frac{7}{2},\frac{27}{11},11$