math help

What is 25/36 + 8/9?

What is 25/36 + 8/9?

Let's add

25
36
+
8
9

Step 1

Now we need to make our denominators match.

Since 9 is evenly divided by 36, we can multiply just one term to get a common denominator.

Multiply 8 by 4, and get 32, then we multiply 9 by 4 and get 36.

8/9 times 4

The problem now has new fractions to add:

25
36
+
32
36

Step 2

Since our denominators match, we can add the numerators.

25 + 32 = 57

The sum we get is

57
36

Step 3

The last step is to reduce the fraction if we can.

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

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

57
36
÷ 3 =
19
12

Let's try dividing by that again...

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...

No good. 13 is larger than 12. So we're done reducing.

There you have it! Here's the final answer to 25/36 + 8/9

25
36
+
8
9
=
19
12
© 2014 Randy Tayler