math help

What is 100/100 + 4/6?

What is 100/100 + 4/6?

Here's how to add

100
100
+
4
6

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 100 by 6, and get 600, then we multiply 100 by 6 and get 600.

100/100 times 6

Do the same for the second term. We multiply 4 by 100, and get 400, then multiply 100 by 6 and get 600.

4/6 times 100

The problem now has new fractions to add:

600
600
+
400
600

Step 2

Since our denominators match, we can add the numerators.

600 + 400 = 1000

This yields the answer

1000
600

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

1000
600
÷ 2 =
500
300

Let's try dividing by that again...

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

500
300
÷ 2 =
250
150

Let's try dividing by that again...

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

250
150
÷ 2 =
125
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:

125
75
÷ 5 =
25
15

Let's try dividing by that again...

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

25
15
÷ 5 =
5
3

Let's try dividing by that again...

No good. 5 is larger than 3. So we're done reducing.

There you have it! Here's the final answer to 100/100 + 4/6

100
100
+
4
6
=
5
3
© 2014 Randy Tayler