math help

What is 42/22 + 7/11?

What is 42/22 + 7/11?

Here's how you add

42
22
+
7
11

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 11 is evenly divided by 22, we can multiply just one term to get a common denominator.

Multiply 7 by 2, and get 14, then we multiply 11 by 2 and get 22.

7/11 times 2

The problem now has new fractions to add:

42
22
+
14
22

Step 2

Since our denominators match, we can add the numerators.

42 + 14 = 56

This yields the answer

56
22

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:

56
22
÷ 2 =
28
11

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...

No good. 13 is larger than 11. So we're done reducing.

Congratulations! Here's your final answer to 42/22 + 7/11

42
22
+
7
11
=
28
11
© 2014 Randy Tayler