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What is 60/60 - 6/12?

What is 60/60 - 6/12?

Here's how to subtract 6/12 from 60/60:

60
60
6
12

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 60 by 12, and get 720.

Then we multiply 6 by 60, and get 360.

Next we give both terms new denominators -- 60 × 12 = 720.

So now our fractions look like this:

720
720
360
720

Step 2

Since our denominators match, we can subtract the numerators.

720 − 360 = 360

So the answer is:

360
720

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

360
720
÷ 2 =
180
360

Let's try dividing by 2 again...

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

180
360
÷ 2 =
90
180

Let's try dividing by 2 again...

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

90
180
÷ 2 =
45
90

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

45
90
÷ 3 =
15
30

Let's try dividing by 3 again...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

15
30
÷ 3 =
5
10

Let's try dividing by 3 again...

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:

5
10
÷ 5 =
1
2

Let's try dividing by 5 again...

No good. 5 is larger than 1. So we're done reducing.

There you have it! The final answer is:
60
60
6
12
=
1
2