How to solve 1/3 , 3/4 1/4

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1/3 , 3/4 1/4 | Equatix

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Question

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

Sort

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

Solution Steps

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

$$\frac{48}{120},\frac{40}{120},\frac{30}{120},\frac{90}{120},\frac{75}{120}$$

To sort the list, start from a single element $\frac{48}{120}$.

$$\frac{48}{120}$$

Insert $\frac{40}{120}$ to the appropriate location in the new list.

$$\frac{40}{120},\frac{48}{120}$$

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

$$\frac{30}{120},\frac{40}{120},\frac{48}{120}$$

Insert $\frac{90}{120}$ to the appropriate location in the new list.

$$\frac{30}{120},\frac{40}{120},\frac{48}{120},\frac{90}{120}$$

Insert $\frac{75}{120}$ to the appropriate location in the new list.

$$\frac{30}{120},\frac{40}{120},\frac{48}{120},\frac{75}{120},\frac{90}{120}$$

Replace the obtained fractions with the initial values.

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

Show Solution

Evaluate

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