math help

What is 55/55 + 1/10?

What is 55/55 + 1/10?

This is how you add

55
55
+
1
10

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 55 by 10, and get 550, then we multiply 55 by 10 and get 550.

55/55 times 10

Now for the second term. You multiply 1 by 55, and get 55, then multiply 55 by 10 and get 550.

1/10 times 55

This gives us a new problem that looks like so:

550
550
+
55
550

Step 2

Since our denominators match, we can add the numerators.

550 + 55 = 605

That gives us an answer of

605
550

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

605
550
÷ 5 =
121
110

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

121
110
÷ 11 =
11
10

Now, try the same number again.

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 1/10

55
55
+
1
10
=
11
10
© 2014 Randy Tayler