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Fractions & Decimals

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2 x + \frac { 3 } { x }$$

Evaluate

$2x+\frac{3}{x}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply $2x$ times $\frac{x}{x}$.

$$\frac{2xx}{x}+\frac{3}{x}$$

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

$$\frac{2xx+3}{x}$$

Do the multiplications in $2xx+3$.

$$\frac{2x^{2}+3}{x}$$

Factor

$\frac{2x^{2}+3}{x}$