math help

What is 50/8 + 1/10?

What is 50/8 + 1/10?

This is how to add

50
8
+
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 50 by 10, and get 500, then we multiply 8 by 10 and get 80.

50/8 times 10

Now for the second term. You multiply 1 by 8, and get 8, then multiply 8 by 10 and get 80.

1/10 times 8

This gives us a new problem that looks like so:

500
80
+
8
80

Step 2

Since our denominators match, we can add the numerators.

500 + 8 = 508

So what's the answer so far?

508
80

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:

508
80
÷ 2 =
254
40

Let's try dividing by that again...

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

254
40
÷ 2 =
127
20

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...

No good. 23 is larger than 20. So we're done reducing.

There you have it! Here's the final answer to 50/8 + 1/10

50
8
+
1
10
=
127
20
© 2014 Randy Tayler