math help

What is 6/88 + 1/10?

What is 6/88 + 1/10?

Here's how to add

6
88
+
1
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 6 by 10, and get 60, then we multiply 88 by 10 and get 880.

6/88 times 10

Now for the second term. You multiply 1 by 88, and get 88, then multiply 88 by 10 and get 880.

1/10 times 88

This gives us a new problem that looks like so:

60
880
+
88
880

Step 2

Since our denominators match, we can add the numerators.

60 + 88 = 148

That gives us an answer of

148
880

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:

148
880
÷ 2 =
74
440

Let's try dividing by that again...

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

74
440
÷ 2 =
37
220

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...

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...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

No good. 41 is larger than 37. So we're done reducing.

There you have it! Here's the final answer to 6/88 + 1/10

6
88
+
1
10
=
37
220
© 2014 Randy Tayler