Solve (1)/(2)-(4)/(3)+(4)/(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

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

Evaluate

$\frac{1}{2}=0.5$

Solution Steps

Least common multiple of $2$ and $3$ is $6$. Convert $\frac{1}{2}$ and $\frac{4}{3}$ to fractions with denominator $6$.

$$\frac{3}{6}-\frac{8}{6}+\frac{4}{3}$$

Since $\frac{3}{6}$ and $\frac{8}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{6}+\frac{4}{3}$$

Subtract $8$ from $3$ to get $-5$.

$$-\frac{5}{6}+\frac{4}{3}$$

Least common multiple of $6$ and $3$ is $6$. Convert $-\frac{5}{6}$ and $\frac{4}{3}$ to fractions with denominator $6$.

$$-\frac{5}{6}+\frac{8}{6}$$

Since $-\frac{5}{6}$ and $\frac{8}{6}$ have the same denominator, add them by adding their numerators.

$$\frac{-5+8}{6}$$

Add $-5$ and $8$ to get $3$.

$$\frac{3}{6}$$

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

$$\frac{1}{2}$$

Factor

$\frac{1}{2} = 0.5$