math help

What is 60/60 + 10/11?

What is 60/60 + 10/11?

Let's add

60
60
+
10
11

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 60 by 11, and get 660, then we multiply 60 by 11 and get 660.

60/60 times 11

Now for the second term. You multiply 10 by 60, and get 600, then multiply 60 by 11 and get 660.

10/11 times 60

This gives us a new problem that looks like so:

660
660
+
600
660

Step 2

Since our denominators match, we can add the numerators.

660 + 600 = 1260

So what's the answer so far?

1260
660

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:

1260
660
÷ 2 =
630
330

Let's try dividing by that again...

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

630
330
÷ 2 =
315
165

Let's try dividing by that again...

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

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

315
165
÷ 3 =
105
55

Let's try dividing by that again...

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

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

105
55
÷ 5 =
21
11

Let's try dividing by that again...

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

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

There you have it! Here's the final answer to 60/60 + 10/11

60
60
+
10
11
=
21
11
© 2014 Randy Tayler

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