How do you simplify $\frac{5}{4 x} + \frac{1}{10 x}$ $5/(4x)+1/(10x)$ ?

Question

How do you simplify $\frac{5}{4 x} + \frac{1}{10 x}$ $5/(4x)+1/(10x)$ ?

1 Answer

Related questions

What is Addition and Subtraction of Rational Expressions?
How do you add or subtract rational expressions with the same denominator?
How do you add or subtract rational expressions with unlike denominator?
How do you find the least common denominator for rational expressions?
How do you simplify $\frac{2}{x + 2} - \frac{3}{2 x - 5}$ $\frac{2}{x+2}-\frac{3}{2x-5}$ ?
How do you add $\frac{5}{2 x + 3} + \frac{3}{2 x + 3}$ $\frac{5}{2x+3}+\frac{3}{2x+3}$ ?
What is the least common denominator for $\frac{2 x}{x - 4} + \frac{x}{4 - x}$ $\frac{2x}{x-4}+\frac{x}{4-x}$ ?
How do you add $\frac{3 x - 2}{x - 2} + \frac{1}{x^{2} - 4 x + 4}$ $\frac{3x-2}{x-2}+\frac{1}{x^2-4x+4}$ ?
How do you subtract $\frac{2 x}{x^{2} + 10 x + 25} - \frac{3 x}{2 x^{2} + 7 x - 15}$ $\frac{2x}{x^2+10x+25}-\frac{3x}{2x^2+7x-15}$ ?
How do you add $\frac{3}{2 x - 4} + \frac{x}{x + 2}$ $3/(2x-4)+x/(x+2)$ ?

Impact of this question

1540 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-29T21:28:40

See a solution process below:

Explanation:

To add these two fractions they must be over common denominators.

$\frac{5}{4 x} + \frac{1}{10 x} \Rightarrow (\frac{5}{5} \times \frac{5}{4 x}) + (\frac{2}{2} \times \frac{1}{10 x}) \Rightarrow$ $5/(4x) + 1/(10x) => (color(red)(5)/ color(red)(5) xx 5/(4x)) + (color(blue)(2)/color(blue)(2) xx 1/(10x)) =>$

$\frac{25}{20 x} + \frac{2}{20 x}$ $25/(20x) + 2/(20x)$

Now, we can add the two fractions:

$\frac{25}{20 x} + \frac{2}{20 x} \Rightarrow \frac{25 + 2}{20 x} \Rightarrow$ $25/(20x) + 2/(20x) => (25 + 2)/(20x) =>$

$\frac{27}{20 x}$ $27/(20x)$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{5}{4 x} + \frac{1}{10 x}$ $5/(4x)+1/(10x)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 54x+110x5/(4x)+1/(10x)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{5}{4 x} + \frac{1}{10 x}$ $5/(4x)+1/(10x)$ ?