Solve 7 . Which is of these fractions , 1/8; /4, | 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

$$5 / 3 , 1 / 8 , 1 / 4 , 2 / 5 , 1 / 2$$

Sort

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

Solution Steps

Least common denominator of the numbers in the list $\frac{5}{3},\frac{1}{8},\frac{1}{4},\frac{2}{5},\frac{1}{2}$ is $120$. Convert numbers in the list to fractions with denominator $120$.

$$\frac{200}{120},\frac{15}{120},\frac{30}{120},\frac{48}{120},\frac{60}{120}$$

To sort the list, start from a single element $\frac{200}{120}$.

$$\frac{200}{120}$$

Insert $\frac{15}{120}$ to the appropriate location in the new list.

$$\frac{15}{120},\frac{200}{120}$$

Insert $\frac{30}{120}$ to the appropriate location in the new list.

$$\frac{15}{120},\frac{30}{120},\frac{200}{120}$$

Insert $\frac{48}{120}$ to the appropriate location in the new list.

$$\frac{15}{120},\frac{30}{120},\frac{48}{120},\frac{200}{120}$$

Insert $\frac{60}{120}$ to the appropriate location in the new list.

$$\frac{15}{120},\frac{30}{120},\frac{48}{120},\frac{60}{120},\frac{200}{120}$$

Replace the obtained fractions with the initial values.

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

Evaluate

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