Solve (3)/(4)+(1)/(2)-(2)/(5) | 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

$$\frac{ 3 }{ 4 } + \frac{ 1 }{ 2 } - \frac{ 2 }{ 5 }$$

Evaluate

$\frac{17}{20}=0.85$

Solution Steps

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

$$\frac{3}{4}+\frac{2}{4}-\frac{2}{5}$$

Since $\frac{3}{4}$ and $\frac{2}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{3+2}{4}-\frac{2}{5}$$

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

$$\frac{5}{4}-\frac{2}{5}$$

Least common multiple of $4$ and $5$ is $20$. Convert $\frac{5}{4}$ and $\frac{2}{5}$ to fractions with denominator $20$.

$$\frac{25}{20}-\frac{8}{20}$$

Since $\frac{25}{20}$ and $\frac{8}{20}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-8}{20}$$

Subtract $8$ from $25$ to get $17$.

$$\frac{17}{20}$$

Factor

$\frac{17}{2 ^ {2} \cdot 5} = 0.85$