math help

What is 11/12 + 1/10?

What is 11/12 + 1/10?

This is how to add

11
12
+
1
10

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 11 by 10, and get 110, then we multiply 12 by 10 and get 120.

11/12 times 10

Do the same for the second term. We multiply 1 by 12, and get 12, then multiply 12 by 10 and get 120.

1/10 times 12

The problem now has new fractions to add:

110
120
+
12
120

Step 2

Since our denominators match, we can add the numerators.

110 + 12 = 122

This yields the answer

122
120

Step 3

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

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

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

122
120
÷ 2 =
61
60

Now, try the same number again.

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...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 60. So we're done reducing.

Congratulations! Here's your final answer to 11/12 + 1/10

11
12
+
1
10
=
61
60
© 2014 Randy Tayler