math help

What is 88/15 + 8/10?

What is 88/15 + 8/10?

This is how you add

88
15
+
8
10

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 88 by 10, and get 880, then we multiply 15 by 10 and get 150.

88/15 times 10

Now for the second term. You multiply 8 by 15, and get 120, then multiply 15 by 10 and get 150.

8/10 times 15

This gives us a new problem that looks like so:

880
150
+
120
150

Step 2

Since our denominators match, we can add the numerators.

880 + 120 = 1000

That gives us an answer of

1000
150

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

1000
150
÷ 2 =
500
75

Now, try the same number again.

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:

500
75
÷ 5 =
100
15

Now, try the same number again.

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 + 8/10

88
15
+
8
10
=
20
3
© 2014 Randy Tayler