math help

What is 6/88 + 3/12?

What is 6/88 + 3/12?

Here's how we add

6
88
+
3
12

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 6 by 12, and get 72, then we multiply 88 by 12 and get 1056.

6/88 times 12

Now for the second term. You multiply 3 by 88, and get 264, then multiply 88 by 12 and get 1056.

3/12 times 88

This gives us a new problem that looks like so:

72
1056
+
264
1056

Step 2

Since our denominators match, we can add the numerators.

72 + 264 = 336

So what's the answer so far?

336
1056

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:

336
1056
÷ 2 =
168
528

Now, try the same number again.

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

168
528
÷ 2 =
84
264

Now, try the same number again.

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

84
264
÷ 2 =
42
132

Now, try the same number again.

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

42
132
÷ 2 =
21
66

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:

21
66
÷ 3 =
7
22

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...

No good. 11 is larger than 7. So we're done reducing.

Congratulations! Here's your final answer to 6/88 + 3/12

6
88
+
3
12
=
7
22
© 2014 Randy Tayler