# Thread:

1. ## Fraction Problem

Man I dislike these fractions but I am having problems finding the answer to this one. $\frac{5}{2x}-\frac{4}{2x^2+3x}$

The site helps me a lot and I haven't found a math site that has help me as much as this one. Even if i am just reading someone threads or doing mine I find help in it somewheres.

2. Originally Posted by Itsbaxagain
Man I dislike these fractions but I am having problems finding the answer to this one. $\frac{5}{2x}-\frac{4}{2x^2+3x}$

The site helps me a lot and I haven't found a math site that has help me as much as this one. Even if i am just reading someone threads or doing mine I find help in it somewheres.
Are you supposed to subtract the fractions?

You need a common denominator. Note that the denominator of the second term is $2x^2 + 3x = x(2x + 3)$. The LCM of $x$ and $x(2x + 3)$ is $2x(2x + 3)$.

So....
$\frac{5}{2x} - \frac{4}{2x^2+3x}$

$= \frac{5}{2x} \cdot \frac{2x + 3}{2x + 3} - \frac{4}{2x^2+3x} \cdot \frac{2}{2}$

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

$= \frac{10x + 7}{2x(2x + 3)}$

-Dan
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 10, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9728264808654785, "perplexity_flag": "head"}