math help

What is 50/8 + 11/12?

What is 50/8 + 11/12?

Here's how we add

50
8
+
11
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 11 by 8, and get 88, then multiply 8 by 12 and get 96.

11/12 times 8

This gives us a new problem that looks like so:

600
96
+
88
96

Step 2

Since our denominators match, we can add the numerators.

600 + 88 = 688

That gives us an answer of

688
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:

688
96
÷ 2 =
344
48

Let's try dividing by that again...

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

344
48
÷ 2 =
172
24

Let's try dividing by that again...

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

172
24
÷ 2 =
86
12

Let's try dividing by that again...

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

86
12
÷ 2 =
43
6

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

There you have it! Here's the final answer to 50/8 + 11/12

50
8
+
11
12
=
43
6
© 2014 Randy Tayler

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