math help

What is 11/25 + 3/10?

What is 11/25 + 3/10?

Here's how to add

11
25
+
3
10

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 11 by 10, and get 110, then we multiply 25 by 10 and get 250.

11/25 times 10

Now for the second term. You multiply 3 by 25, and get 75, then multiply 25 by 10 and get 250.

3/10 times 25

This gives us a new problem that looks like so:

110
250
+
75
250

Step 2

Since our denominators match, we can add the numerators.

110 + 75 = 185

That gives us an answer of

185
250

Step 3

Can this fraction be reduced?

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

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

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

185
250
÷ 5 =
37
50

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

No good. 41 is larger than 37. So we're done reducing.

Congratulations! Here's your final answer to 11/25 + 3/10

11
25
+
3
10
=
37
50
© 2014 Randy Tayler