math help

What is 56/60 + 2/3?

What is 56/60 + 2/3?

This is how you add

56
60
+
2
3

Step 1

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

60 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 20, and get 40, then we multiply 3 by 20 and get 60.

2/3 times 20

This gives us a new problem that looks like so:

56
60
+
40
60

Step 2

Since our denominators match, we can add the numerators.

56 + 40 = 96

That gives us an answer of

96
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:

96
60
÷ 2 =
48
30

Now, try the same number again.

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

48
30
÷ 2 =
24
15

Now, try the same number again.

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

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

24
15
÷ 3 =
8
5

Now, try the same number again.

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

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

No good. 7 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 56/60 + 2/3

56
60
+
2
3
=
8
5
© 2014 Randy Tayler