Solve 2/8 + 1/3 + 1/4 + 2/3 | 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

$$\frac{2}{8}+\frac{1}{3}+\frac{1}{4}+\frac{2}{3}$$

Evaluate

$\frac{3}{2}=1.5$

Solution Steps

Reduce the fraction $\frac{2}{8}$ to lowest terms by extracting and canceling out $2$.

$$\frac{1}{4}+\frac{1}{3}+\frac{1}{4}+\frac{2}{3}$$

Least common multiple of $4$ and $3$ is $12$. Convert $\frac{1}{4}$ and $\frac{1}{3}$ to fractions with denominator $12$.

$$\frac{3}{12}+\frac{4}{12}+\frac{1}{4}+\frac{2}{3}$$

Since $\frac{3}{12}$ and $\frac{4}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{3+4}{12}+\frac{1}{4}+\frac{2}{3}$$

Add $3$ and $4$ to get $7$.

$$\frac{7}{12}+\frac{1}{4}+\frac{2}{3}$$

Least common multiple of $12$ and $4$ is $12$. Convert $\frac{7}{12}$ and $\frac{1}{4}$ to fractions with denominator $12$.

$$\frac{7}{12}+\frac{3}{12}+\frac{2}{3}$$

Since $\frac{7}{12}$ and $\frac{3}{12}$ have the same denominator, add them by adding their numerators.

$$\frac{7+3}{12}+\frac{2}{3}$$

Add $7$ and $3$ to get $10$.

$$\frac{10}{12}+\frac{2}{3}$$

Reduce the fraction $\frac{10}{12}$ to lowest terms by extracting and canceling out $2$.

$$\frac{5}{6}+\frac{2}{3}$$

Least common multiple of $6$ and $3$ is $6$. Convert $\frac{5}{6}$ and $\frac{2}{3}$ to fractions with denominator $6$.

$$\frac{5}{6}+\frac{4}{6}$$

Since $\frac{5}{6}$ and $\frac{4}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{5+4}{6}$$

Add $5$ and $4$ to get $9$.

$$\frac{9}{6}$$

Reduce the fraction $\frac{9}{6}$ to lowest terms by extracting and canceling out $3$.

$$\frac{3}{2}$$

Factor

$\frac{3}{2} = 1\frac{1}{2} = 1.5$