10a/b+3b/5

Question

10a/b+3b/5

hartnn · Answer

@kavika807  Hi,

$\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile$

can you specify what need to be done?
do you need to simplify that?

anonymous · Answer

yes, it just says to perform the indicated operation. simplify if possible.

hartnn · Answer

ok, is your question exactly this:
$\large\frac{10a}{b}+\frac{3b}{5}$

anonymous · Answer

yes

hartnn · Answer

do you know how to make the denominator of both fractions equal/common, so that you can combine the numerator?

anonymous · Answer

no

hartnn · Answer

ok, you have one denominator as b and other as 5.
to make them both equal, i will multiply and divide by 5 in 1st fraction and multiply and divide by b in 2nd fraction to get 5b as common denominator:
$\large\frac{10a}{b}\times \frac{5}{5}+\frac{3b}{5}\times\frac{b}{b}=\large\frac{50a}{5b}+\frac{3b^2}{5b}$
does this make sense ?

anonymous · Answer

yes! thank you so much.

hartnn · Answer

welcome :)
did u get your final answer?
because what i have written can be simplified further.....

anonymous · Answer

$$\frac{ 50a+3b^{2} }{ 5b}$$

anonymous · Answer

i put this in and it said it was correct.

hartnn · Answer

thats correct!
I am impressed that you could write that way in your very first question here.
Good Work :)

anonymous · Answer

it took a while lol. thank you for your help. I'm working them out but i'm sure i will have more questions.

hartnn · Answer

Feel free to ask more question, we'll try our best to help you :)

hartnn · Answer

and one more thing, new question, new post