math help

What is 45/4 + 10/11?

What is 45/4 + 10/11?

Here's how to add

45
4
+
10
11

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 45 by 11, and get 495, then we multiply 4 by 11 and get 44.

45/4 times 11

Do the same for the second term. We multiply 10 by 4, and get 40, then multiply 4 by 11 and get 44.

10/11 times 4

The problem now has new fractions to add:

495
44
+
40
44

Step 2

Since our denominators match, we can add the numerators.

495 + 40 = 535

The sum we get is

535
44

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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...

No good. 47 is larger than 44. So we're done reducing.

Congratulations! Here's your final answer to 45/4 + 10/11

45
4
+
10
11
=
535
44
© 2014 Randy Tayler

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