math help

What is 24/5 - 4/6?

What is 24/5 - 4/6?

Here's how to subtract 4/6 from 24/5:

24
5
 −
4
6

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 24 by 6, and get 144.

Then we multiply 4 by 5, and get 20.

Next we give both terms new denominators -- 5 × 6 = 30.

So now our fractions look like this:

144
30
 −
20
30

Step 2

Since our denominators match, we can subtract the numerators.

144 − 20 = 124

So the answer is:

124
30

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:

124
30
 ÷ 2 =
62
15

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 15. So we're done reducing.

There you have it! The final answer is:
24
5
 −
4
6
 =
62
15

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