math help

What is 88/15 + 4/5?

What is 88/15 + 4/5?

Here's how to add

88
15
+
4
5

Step 1

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

Since 5 is evenly divided by 15, we can multiply just one term to get a common denominator.

Multiply 4 by 3, and get 12, then we multiply 5 by 3 and get 15.

4/5 times 3

So now our fractions look like this:

88
15
+
12
15

Step 2

Since our denominators match, we can add the numerators.

88 + 12 = 100

So the answer is:

100
15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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:

100
15
÷ 5 =
20
3

Now, try the same number again.

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

Congratulations! Here's your final answer to 88/15 + 4/5

88
15
+
4
5
=
20
3
© 2014 Randy Tayler