math help

What is 15/60 + 10/12?

What is 15/60 + 10/12?

This is how to add

15
60
+
10
12

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

60 goes into 12 evenly, so we only need to multiply one term to get a common denominator.

Multiply 10 by 5, and get 50, then we multiply 12 by 5 and get 60.

10/12 times 5

This gives us a new problem that looks like so:

15
60
+
50
60

Step 2

Since our denominators match, we can add the numerators.

15 + 50 = 65

That gives us an answer of

65
60

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:

65
60
÷ 5 =
13
12

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...

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

Congratulations! Here's your final answer to 15/60 + 10/12

15
60
+
10
12
=
13
12
© 2014 Randy Tayler

10/12 + 1/2
10/12 - 1/2
10/12 + 1/3
10/12 - 1/3
10/12 + 2/3
10/12 - 2/3
10/12 + 1/4
10/12 - 1/4
10/12 + 2/4
10/12 - 2/4
10/12 + 3/4
10/12 - 3/4
10/12 + 1/5
10/12 - 1/5
10/12 + 2/5
10/12 - 2/5
10/12 + 3/5
10/12 - 3/5
10/12 + 4/5
10/12 - 4/5
10/12 + 1/6
10/12 - 1/6
10/12 + 2/6
10/12 - 2/6
10/12 + 3/6
10/12 - 3/6
10/12 + 4/6
10/12 - 4/6
10/12 + 5/6
10/12 - 5/6
10/12 + 1/7
10/12 - 1/7
10/12 + 2/7
10/12 - 2/7
10/12 + 3/7
10/12 - 3/7
10/12 + 4/7
10/12 - 4/7
10/12 + 5/7
10/12 - 5/7
10/12 + 6/7
10/12 - 6/7
10/12 + 1/8
10/12 - 1/8
10/12 + 2/8
10/12 - 2/8
10/12 + 3/8
10/12 - 3/8
10/12 + 4/8
10/12 - 4/8
10/12 + 5/8
10/12 - 5/8
10/12 + 6/8
10/12 - 6/8
10/12 + 7/8
10/12 - 7/8
10/12 + 1/9
10/12 - 1/9
10/12 + 2/9
10/12 - 2/9
10/12 + 3/9
10/12 - 3/9
10/12 + 4/9
10/12 - 4/9
10/12 + 5/9
10/12 - 5/9
10/12 + 6/9
10/12 - 6/9
10/12 + 7/9
10/12 - 7/9
10/12 + 8/9
10/12 - 8/9
10/12 + 1/10
10/12 - 1/10
10/12 + 2/10
10/12 - 2/10
10/12 + 3/10
10/12 - 3/10
10/12 + 4/10
10/12 - 4/10
10/12 + 5/10
10/12 - 5/10
10/12 + 6/10
10/12 - 6/10
10/12 + 7/10
10/12 - 7/10
10/12 + 8/10
10/12 - 8/10
10/12 + 9/10
10/12 - 9/10
10/12 + 1/11
10/12 - 1/11
10/12 + 2/11
10/12 - 2/11
10/12 + 3/11
10/12 - 3/11
10/12 + 4/11
10/12 - 4/11
10/12 + 5/11
10/12 - 5/11
10/12 + 6/11
10/12 - 6/11
10/12 + 7/11
10/12 - 7/11
10/12 + 8/11
10/12 - 8/11
10/12 + 9/11
10/12 - 9/11
10/12 + 10/11
10/12 - 10/11
10/12 + 1/12
10/12 - 1/12
10/12 + 2/12
10/12 - 2/12
10/12 + 3/12
10/12 - 3/12
10/12 + 4/12
10/12 - 4/12
10/12 + 5/12
10/12 - 5/12
10/12 + 6/12
10/12 - 6/12
10/12 + 7/12
10/12 - 7/12
10/12 + 8/12
10/12 - 8/12
10/12 + 9/12
10/12 - 9/12
10/12 + 10/12
10/12 - 10/12
10/12 + 11/12
10/12 - 11/12