Question

5/10 + 5/20 = ?

Show some work please. This is 20 points (i paid 40 points) just to get the answer.

Answer 1

Hey!

The first step to answering this question is to change the fraction(s) so that they have common denominator. In this case, we'll be changing the fraction five over ten has the same denominator as five over twenty. To do that we'll multiply the denominator by two to get it to twenty. And since whatever you do to the bottom you do to the top (and vise versa), we'll also be multiplying the top by two.

Old Fraction :

`(5)/(10)`

Equation to Change Fraction :

`(5*2)/(10*2) = ?`

New Fraction :

`(10)/(20)`

Now that that's done we'll go ahead and add the fractions straight across. But remember, we don't add the denominator.

New Equation :

`(10)/(20) + (5)/(20) = ?`

Solution {New Equation Solved} :

`(15)/(20)`

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form.

New Solution {Old Solution Simplified} :

`(3)/(4)`

The fraction can no longer be simplified any farther.

So, this means that the correct answer to the equation is
`(3)/(4)`.

Hope this helps!

- Lindsey Frazier ♥

Answer 2

5/10 + 5/20 = ?

First thing to do is, find the LCM.

10,20
20

So 20 is the LCM.

So ?/20 + ?/20

Now, divide the 20 to the denominator 10. = 2.
Now, Multiply the 2 and 5 = 10

So, 10/20 + ?/20

Then for the second one, do it the same as the first one. If you still dunno how, lemme answer this.

Now, Divide the 20(LCM) to the 20(DENOMINATOR OF THE SECOND ONE) = 1
Now, Multiply the 1 and 5 = 5.

So its 10/20 + 5/20 =

15/20.

We see that it can be reduced into lowest terms.
15/20 ÷ 5 = ?

So, 3/4 is the answer.