math help

What is 63/58 + 4/8?

What is 63/58 + 4/8?

Here's how to add

63
58
+
4
8

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 63 by 8, and get 504, then we multiply 58 by 8 and get 464.

63/58 times 8

Now for the second term. You multiply 4 by 58, and get 232, then multiply 58 by 8 and get 464.

4/8 times 58

This gives us a new problem that looks like so:

504
464
+
232
464

Step 2

Since our denominators match, we can add the numerators.

504 + 232 = 736

So what's the answer so far?

736
464

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:

736
464
÷ 2 =
368
232

Now, try the same number again.

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

368
232
÷ 2 =
184
116

Now, try the same number again.

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

184
116
÷ 2 =
92
58

Now, try the same number again.

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

92
58
÷ 2 =
46
29

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 29. So we're done reducing.

Congratulations! Here's your final answer to 63/58 + 4/8

63
58
+
4
8
=
46
29
© 2014 Randy Tayler