math help

What is 50/8 + 7/10?

What is 50/8 + 7/10?

Here's how you add

50
8
+
7
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, 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 7 by 8, and get 56, then multiply 8 by 10 and get 80.

7/10 times 8

We now have a new problem, that looks like this:

500
80
+
56
80

Step 2

Since our denominators match, we can add the numerators.

500 + 56 = 556

Answer:

556
80

Step 3

Now, do we need to simplify this fraction?

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

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

556
80
÷ 2 =
278
40

Let's try dividing by that again...

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

278
40
÷ 2 =
139
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 + 7/10

50
8
+
7
10
=
139
20
© 2014 Randy Tayler