math help

What is 50/8 + 3/12?

What is 50/8 + 3/12?

This is how we add

50
8
+
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 50 by 12, and get 600, then we multiply 8 by 12 and get 96.

50/8 times 12

Now for the second term. You multiply 3 by 8, and get 24, then multiply 8 by 12 and get 96.

3/12 times 8

This gives us a new problem that looks like so:

600
96
+
24
96

Step 2

Since our denominators match, we can add the numerators.

600 + 24 = 624

That gives us an answer of

624
96

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:

624
96
÷ 2 =
312
48

Now, try the same number again.

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

312
48
÷ 2 =
156
24

Now, try the same number again.

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

156
24
÷ 2 =
78
12

Now, try the same number again.

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

78
12
÷ 2 =
39
6

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:

39
6
÷ 3 =
13
2

Now, try the same number again.

No good. 3 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 50/8 + 3/12

50
8
+
3
12
=
13
2
© 2014 Randy Tayler