math help

What is 56/60 - 4/8?

What is 56/60 - 4/8?

Here's how to subtract 4/8 from 56/60:

56
60
4
8

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 56 by 8, and get 448.

Then we multiply 4 by 60, and get 240.

Next we give both terms new denominators -- 60 × 8 = 480.

So now our fractions look like this:

448
480
240
480

Step 2

Since our denominators match, we can subtract the numerators.

448 − 240 = 208

So the answer is:

208
480

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:

208
480
÷ 2 =
104
240

Let's try dividing by 2 again...

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

104
240
÷ 2 =
52
120

Let's try dividing by 2 again...

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

52
120
÷ 2 =
26
60

Let's try dividing by 2 again...

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

26
60
÷ 2 =
13
30

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...

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...

No good. 17 is larger than 13. So we're done reducing.

There you have it! The final answer is:
56
60
4
8
=
13
30