math help

What is 64/4 - 4/5?

What is 64/4 - 4/5?

Here's how to subtract 4/5 from 64/4:

64
4
4
5

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 64 by 5, and get 320.

Then we multiply 4 by 4, and get 16.

Next we give both terms new denominators -- 4 × 5 = 20.

So now our fractions look like this:

320
20
16
20

Step 2

Since our denominators match, we can subtract the numerators.

320 − 16 = 304

So the answer is:

304
20

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:

304
20
÷ 2 =
152
10

Let's try dividing by 2 again...

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

152
10
÷ 2 =
76
5

Let's try dividing by 2 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...

No good. 7 is larger than 5. So we're done reducing.

There you have it! The final answer is:
64
4
4
5
=
76
5