math help

What is 100/24 + 10/11?

What is 100/24 + 10/11?

Here's how you add

100
24
+
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 100 by 11, and get 1100, then we multiply 24 by 11 and get 264.

100/24 times 11

Now for the second term. You multiply 10 by 24, and get 240, then multiply 24 by 11 and get 264.

10/11 times 24

This gives us a new problem that looks like so:

1100
264
+
240
264

Step 2

Since our denominators match, we can add the numerators.

1100 + 240 = 1340

That gives us an answer of

1340
264

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:

1340
264
÷ 2 =
670
132

Now, try the same number again.

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

670
132
÷ 2 =
335
66

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...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

No good. 67 is larger than 66. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 10/11

100
24
+
10
11
=
335
66
© 2014 Randy Tayler

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