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antiseptic1488 [7]
3 years ago
12

Can someone help me with this equation?

" id="TexFormula1" title="\frac{2x+3}{15} =\frac{9}{10}" alt="\frac{2x+3}{15} =\frac{9}{10}" align="absmiddle" class="latex-formula">

Mathematics
2 answers:
Yuri [45]3 years ago
4 0

\dfrac{2x+3}{15}=\dfrac{9}{10}\qquad\text{cross multiply}\\\\10(2x+3)=(9)(15)\qquad\text{use distributive property}\\\\(10)(2x)+(10)(3)=135\\\\20x+30=135\qquad\text{subtract 30 from both sides}\\\\20x=105\qquad\text{divide both sides by 20}\\\\x=\dfrac{105}{20}\\\\x=5\dfrac{5}{20}\\\\x=5\dfrac{1}{4}\to x=5.25\\\\Answer:\ \boxed{x=5\dfrac{1}{4}=5.25}

Murljashka [212]3 years ago
3 0
Remember that when you bring ÷ to the other side of the equal sign it'll become multiply instead

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Hi there!


I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!


So, the steps are:


Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.


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Now, we can get to the last part, my favorite one!


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That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D

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