math help

What is 22/60 + 5/6?

What is 22/60 + 5/6?

This is how you add

22
60
+
5
6

Step 1

Now we need to make our denominators match.

60 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 5 by 10, and get 50, then we multiply 6 by 10 and get 60.

5/6 times 10

This gives us a new problem that looks like so:

22
60
+
50
60

Step 2

Since our denominators match, we can add the numerators.

22 + 50 = 72

So what's the answer so far?

72
60

Step 3

Can this fraction be reduced?

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

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

72
60
÷ 2 =
36
30

Let's try dividing by that again...

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

36
30
÷ 2 =
18
15

Let's try dividing by that again...

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:

18
15
÷ 3 =
6
5

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...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 22/60 + 5/6

22
60
+
5
6
=
6
5
© 2014 Randy Tayler