math help

What is 100/50 - 5/10?

What is 100/50 - 5/10?

Here's how to subtract 5/10 from 100/50:

100
50
5
10

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 100 by 10, and get 1000.

Then we multiply 5 by 50, and get 250.

Next we give both terms new denominators -- 50 × 10 = 500.

So now our fractions look like this:

1000
500
250
500

Step 2

Since our denominators match, we can subtract the numerators.

1000 − 250 = 750

So the answer is:

750
500

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:

750
500
÷ 2 =
375
250

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

375
250
÷ 5 =
75
50

Let's try dividing by 5 again...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

75
50
÷ 5 =
15
10

Let's try dividing by 5 again...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

15
10
÷ 5 =
3
2

Let's try dividing by 5 again...

No good. 5 is larger than 3. So we're done reducing.

There you have it! The final answer is:
100
50
5
10
=
3
2