math help

What is 4/5 + 10/11?

What is 4/5 + 10/11?

This is how you add

4
5
+
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 4 by 11, and get 44, then we multiply 5 by 11 and get 55.

4/5 times 11

Do the same for the second term. We multiply 10 by 5, and get 50, then multiply 5 by 11 and get 55.

10/11 times 5

The problem now has new fractions to add:

44
55
+
50
55

Step 2

Since our denominators match, we can add the numerators.

44 + 50 = 94

The sum we get is

94
55

Step 3

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

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

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...

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

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

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

No good. 59 is larger than 55. So we're done reducing.

There you have it! Here's the final answer to 4/5 + 10/11

4
5
+
10
11
=
94
55
© 2014 Randy Tayler

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