math help

What is 25/15 + 2/3?

What is 25/15 + 2/3?

This is how we add

25
15
+
2
3

Step 1

Now we need to make our denominators match.

15 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 5, and get 10, then we multiply 3 by 5 and get 15.

2/3 times 5

This gives us a new problem that looks like so:

25
15
+
10
15

Step 2

Since our denominators match, we can add the numerators.

25 + 10 = 35

So what's the answer so far?

35
15

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

35
15
÷ 5 =
7
3

Let's try dividing by that again...

No good. 5 is larger than 3. So we're done reducing.

There you have it! Here's the final answer to 25/15 + 2/3

25
15
+
2
3
=
7
3
© 2014 Randy Tayler