Solve 1/2 * R - 3/4 = 1/2 | 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

$$\frac{1}{2}R-\frac{3}{4}=\frac{1}{2}$$

Solve for R

$R = \frac{5}{2} = 2\frac{1}{2} = 2.5$

Steps for Solving Linear Equation

Add $\frac{3}{4}$ to both sides.

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

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

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

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

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

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

$$\frac{1}{2}R=\frac{5}{4}$$

Multiply both sides by $2$, the reciprocal of $\frac{1}{2}$.

$$R=\frac{5}{4}\times 2$$

Express $\frac{5}{4}\times 2$ as a single fraction.

$$R=\frac{5\times 2}{4}$$

Multiply $5$ and $2$ to get $10$.

$$R=\frac{10}{4}$$

Reduce the fraction $\frac{10}{4}$ to lowest terms by extracting and canceling out $2$.

$$R=\frac{5}{2}$$