Solve 6/(5x) + 3/(8x ^ 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

$$\frac{6}{5x}+\frac{3}{8x^{2}}$$

Evaluate

$\frac{6}{5x}+\frac{3}{8x^{2}}$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $5x$ and $8x^{2}$ is $40x^{2}$. Multiply $\frac{6}{5x}$ times $\frac{8x}{8x}$. Multiply $\frac{3}{8x^{2}}$ times $\frac{5}{5}$.

$$\frac{6\times 8x}{40x^{2}}+\frac{3\times 5}{40x^{2}}$$

Since $\frac{6\times 8x}{40x^{2}}$ and $\frac{3\times 5}{40x^{2}}$ have the same denominator, add them by adding their numerators.

$$\frac{6\times 8x+3\times 5}{40x^{2}}$$

Do the multiplications in $6\times 8x+3\times 5$.

$$\frac{48x+15}{40x^{2}}$$

Factor

$\frac{3\left(16x+5\right)}{40x^{2}}$