math help

What is 56/60 + 7/10?

What is 56/60 + 7/10?

Here's how to add

56
60
+
7
10

Step 1

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

60 goes into 10 evenly, so we only need to multiply one term to get a common denominator.

Multiply 7 by 6, and get 42, then we multiply 10 by 6 and get 60.

7/10 times 6

This gives us a new problem that looks like so:

56
60
+
42
60

Step 2

Since our denominators match, we can add the numerators.

56 + 42 = 98

So what's the answer so far?

98
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:

98
60
÷ 2 =
49
30

Now, try the same number again.

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

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

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

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

No good. 31 is larger than 30. So we're done reducing.

Congratulations! Here's your final answer to 56/60 + 7/10

56
60
+
7
10
=
49
30
© 2014 Randy Tayler