Solve -(3)/(4)+(5)/(2)=(5)/(2)+(-(3)/(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

$$- \frac{ 3 }{ 4 } + \frac{ 5 }{ 2 } = \frac{ 5 }{ 2 } +(- \frac{ 3 }{ 4 } )$$

Verify

$\text{true}$

Solution Steps

Least common multiple of $4$ and $2$ is $4$. Convert $-\frac{3}{4}$ and $\frac{5}{2}$ to fractions with denominator $4$.

$$-\frac{3}{4}+\frac{10}{4}=\frac{5}{2}-\frac{3}{4}$$

Since $-\frac{3}{4}$ and $\frac{10}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{-3+10}{4}=\frac{5}{2}-\frac{3}{4}$$

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

$$\frac{7}{4}=\frac{5}{2}-\frac{3}{4}$$

Least common multiple of $2$ and $4$ is $4$. Convert $\frac{5}{2}$ and $\frac{3}{4}$ to fractions with denominator $4$.

$$\frac{7}{4}=\frac{10}{4}-\frac{3}{4}$$

Since $\frac{10}{4}$ and $\frac{3}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{4}=\frac{10-3}{4}$$

Subtract $3$ from $10$ to get $7$.

$$\frac{7}{4}=\frac{7}{4}$$

Compare $\frac{7}{4}$ and $\frac{7}{4}$.

$$\text{true}$$