math help

What is 45/3 + 4/6?

What is 45/3 + 4/6?

This is how you add

45
3
+
4
6

Step 1

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

Since 3 is evenly divided by 6, we can multiply just one term to get a common denominator.

Multiply 45 by 2, and get 90, then we multiply 3 by 2 and get 6.

45/3 times 2

The problem now has new fractions to add:

90
6
+
4
6

Step 2

Since our denominators match, we can add the numerators.

90 + 4 = 94

This yields the answer

94
6

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:

94
6
÷ 2 =
47
3

Now, try the same number again.

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

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

No good. 5 is larger than 3. So we're done reducing.

Congratulations! Here's your final answer to 45/3 + 4/6

45
3
+
4
6
=
47
3
© 2014 Randy Tayler