math help

What is 45/3 + 10/12?

What is 45/3 + 10/12?

Here's how to add

45
3
+
10
12

Step 1

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

Since 3 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 45 by 4, and get 180, then we multiply 3 by 4 and get 12.

45/3 times 4

The problem now has new fractions to add:

180
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

180 + 10 = 190

The sum we get is

190
12

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:

190
12
÷ 2 =
95
6

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...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 45/3 + 10/12

45
3
+
10
12
=
95
6
© 2014 Randy Tayler

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