math help

What is 100/100 + 3/4?

What is 100/100 + 3/4?

Here's how we add

100
100
+
3
4

Step 1

Now we need to make our denominators match.

100 goes into 4 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 25, and get 75, then we multiply 4 by 25 and get 100.

3/4 times 25

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

100
100
+
75
100

Step 2

Since our denominators match, we can add the numerators.

100 + 75 = 175

That gives us the sum, which is

175
100

Step 3

Now, do we need to simplify this fraction?

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

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:

175
100
÷ 5 =
35
20

Let's try dividing by that again...

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

35
20
÷ 5 =
7
4

Let's try dividing by that again...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 3/4

100
100
+
3
4
=
7
4
© 2014 Randy Tayler