math help

What is 25/36 + 11/12?

What is 25/36 + 11/12?

Here's how to add

25
36
+
11
12

Step 1

Now we need to make our denominators match.

Since 12 is evenly divided by 36, we can multiply just one term to get a common denominator.

Multiply 11 by 3, and get 33, then we multiply 12 by 3 and get 36.

11/12 times 3

So now our fractions look like this:

25
36
+
33
36

Step 2

Since our denominators match, we can add the numerators.

25 + 33 = 58

Now we have an answer.

58
36

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

58
36
÷ 2 =
29
18

Let's try dividing by that again...

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

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

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

No good. 19 is larger than 18. So we're done reducing.

There you have it! Here's the final answer to 25/36 + 11/12

25
36
+
11
12
=
29
18
© 2014 Randy Tayler

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