math help

What is 21/63 + 6/7?

What is 21/63 + 6/7?

This is how to add

21
63
+
6
7

Step 1

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

63 goes into 7 evenly, so we only need to multiply one term to get a common denominator.

Multiply 6 by 9, and get 54, then we multiply 7 by 9 and get 63.

6/7 times 9

This gives us a new problem that looks like so:

21
63
+
54
63

Step 2

Since our denominators match, we can add the numerators.

21 + 54 = 75

That gives us an answer of

75
63

Step 3

Can this fraction be reduced?

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

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

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

75
63
÷ 3 =
25
21

Now, try the same number again.

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...

No good. 23 is larger than 21. So we're done reducing.

Congratulations! Here's your final answer to 21/63 + 6/7

21
63
+
6
7
=
25
21
© 2014 Randy Tayler