math help

What is 28/100 + 10/11?

What is 28/100 + 10/11?

This is how you add

28
100
+
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 28 by 11, and get 308, then we multiply 100 by 11 and get 1100.

28/100 times 11

Now for the second term. You multiply 10 by 100, and get 1000, then multiply 100 by 11 and get 1100.

10/11 times 100

This gives us a new problem that looks like so:

308
1100
+
1000
1100

Step 2

Since our denominators match, we can add the numerators.

308 + 1000 = 1308

So what's the answer so far?

1308
1100

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:

1308
1100
÷ 2 =
654
550

So far so good... let's try to divide by that number again.

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

654
550
÷ 2 =
327
275

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. So next you try the next prime number, which is 97...

No good. So next you try the next prime number, which is 101...

No good. So next you try the next prime number, which is 103...

No good. So next you try the next prime number, which is 107...

No good. So next you try the next prime number, which is 109...

No good. So next you try the next prime number, which is 113...

No good. So next you try the next prime number, which is 127...

No good. So next you try the next prime number, which is 131...

No good. So next you try the next prime number, which is 137...

No good. So next you try the next prime number, which is 139...

No good. So next you try the next prime number, which is 149...

No good. So next you try the next prime number, which is 151...

No good. So next you try the next prime number, which is 157...

No good. So next you try the next prime number, which is 163...

No good. So next you try the next prime number, which is 167...

No good. So next you try the next prime number, which is 173...

No good. So next you try the next prime number, which is 179...

No good. So next you try the next prime number, which is 181...

No good. So next you try the next prime number, which is 191...

No good. So next you try the next prime number, which is 193...

No good. So next you try the next prime number, which is 197...

No good. So next you try the next prime number, which is 199...

No good. So next you try the next prime number, which is 211...

No good. So next you try the next prime number, which is 223...

No good. So next you try the next prime number, which is 227...

No good. So next you try the next prime number, which is 229...

No good. So next you try the next prime number, which is 233...

No good. So next you try the next prime number, which is 239...

No good. So next you try the next prime number, which is 241...

No good. So next you try the next prime number, which is 251...

No good. So next you try the next prime number, which is 257...

No good. So next you try the next prime number, which is 263...

No good. So next you try the next prime number, which is 269...

No good. So next you try the next prime number, which is 271...

No good. So next you try the next prime number, which is 277...

No good. 277 is larger than 275. So we're done reducing.

And we're done! Here's the final answer to 28/100 + 10/11

28
100
+
10
11
=
327
275
© 2014 Randy Tayler

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