math help

What is 88/15 + 4/10?

What is 88/15 + 4/10?

Here's how you add

88
15
+
4
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 4 by 15, and get 60, then multiply 15 by 10 and get 150.

4/10 times 15

This gives us a new problem that looks like so:

880
150
+
60
150

Step 2

Since our denominators match, we can add the numerators.

880 + 60 = 940

So what's the answer so far?

940
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:

940
150
÷ 2 =
470
75

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

470
75
÷ 5 =
94
15

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

No good. 17 is larger than 15. So we're done reducing.

There you have it! Here's the final answer to 88/15 + 4/10

88
15
+
4
10
=
94
15
© 2014 Randy Tayler