math help

What is 50/8 - 2/3?

What is 50/8 - 2/3?

Here's how to subtract 2/3 from 50/8:

50
8
2
3

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 50 by 3, and get 150.

Then we multiply 2 by 8, and get 16.

Next we give both terms new denominators -- 8 × 3 = 24.

So now our fractions look like this:

150
24
16
24

Step 2

Since our denominators match, we can subtract the numerators.

150 − 16 = 134

So the answer is:

134
24

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:

134
24
÷ 2 =
67
12

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...

No good. 13 is larger than 12. So we're done reducing.

There you have it! The final answer is:
50
8
2
3
=
67
12