math help

What is 64/4 + 10/11?

What is 64/4 + 10/11?

Here's how you add

64
4
+
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 64 by 11, and get 704, then we multiply 4 by 11 and get 44.

64/4 times 11

Now for the second term. You multiply 10 by 4, and get 40, then multiply 4 by 11 and get 44.

10/11 times 4

This gives us a new problem that looks like so:

704
44
+
40
44

Step 2

Since our denominators match, we can add the numerators.

704 + 40 = 744

That gives us an answer of

744
44

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:

744
44
÷ 2 =
372
22

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:

372
22
÷ 2 =
186
11

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. 13 is larger than 11. So we're done reducing.

And we're done! Here's the final answer to 64/4 + 10/11

64
4
+
10
11
=
186
11
© 2014 Randy Tayler

10/11 + 1/2
10/11 - 1/2
10/11 + 1/3
10/11 - 1/3
10/11 + 2/3
10/11 - 2/3
10/11 + 1/4
10/11 - 1/4
10/11 + 2/4
10/11 - 2/4
10/11 + 3/4
10/11 - 3/4
10/11 + 1/5
10/11 - 1/5
10/11 + 2/5
10/11 - 2/5
10/11 + 3/5
10/11 - 3/5
10/11 + 4/5
10/11 - 4/5
10/11 + 1/6
10/11 - 1/6
10/11 + 2/6
10/11 - 2/6
10/11 + 3/6
10/11 - 3/6
10/11 + 4/6
10/11 - 4/6
10/11 + 5/6
10/11 - 5/6
10/11 + 1/7
10/11 - 1/7
10/11 + 2/7
10/11 - 2/7
10/11 + 3/7
10/11 - 3/7
10/11 + 4/7
10/11 - 4/7
10/11 + 5/7
10/11 - 5/7
10/11 + 6/7
10/11 - 6/7
10/11 + 1/8
10/11 - 1/8
10/11 + 2/8
10/11 - 2/8
10/11 + 3/8
10/11 - 3/8
10/11 + 4/8
10/11 - 4/8
10/11 + 5/8
10/11 - 5/8
10/11 + 6/8
10/11 - 6/8
10/11 + 7/8
10/11 - 7/8
10/11 + 1/9
10/11 - 1/9
10/11 + 2/9
10/11 - 2/9
10/11 + 3/9
10/11 - 3/9
10/11 + 4/9
10/11 - 4/9
10/11 + 5/9
10/11 - 5/9
10/11 + 6/9
10/11 - 6/9
10/11 + 7/9
10/11 - 7/9
10/11 + 8/9
10/11 - 8/9
10/11 + 1/10
10/11 - 1/10
10/11 + 2/10
10/11 - 2/10
10/11 + 3/10
10/11 - 3/10
10/11 + 4/10
10/11 - 4/10
10/11 + 5/10
10/11 - 5/10
10/11 + 6/10
10/11 - 6/10
10/11 + 7/10
10/11 - 7/10
10/11 + 8/10
10/11 - 8/10
10/11 + 9/10
10/11 - 9/10
10/11 + 1/11
10/11 - 1/11
10/11 + 2/11
10/11 - 2/11
10/11 + 3/11
10/11 - 3/11
10/11 + 4/11
10/11 - 4/11
10/11 + 5/11
10/11 - 5/11
10/11 + 6/11
10/11 - 6/11
10/11 + 7/11
10/11 - 7/11
10/11 + 8/11
10/11 - 8/11
10/11 + 9/11
10/11 - 9/11
10/11 + 10/11
10/11 - 10/11
10/11 + 1/12
10/11 - 1/12
10/11 + 2/12
10/11 - 2/12
10/11 + 3/12
10/11 - 3/12
10/11 + 4/12
10/11 - 4/12
10/11 + 5/12
10/11 - 5/12
10/11 + 6/12
10/11 - 6/12
10/11 + 7/12
10/11 - 7/12
10/11 + 8/12
10/11 - 8/12
10/11 + 9/12
10/11 - 9/12
10/11 + 10/12
10/11 - 10/12
10/11 + 11/12
10/11 - 11/12