math help

What is 6/10 - 5/9?

What is 6/10 - 5/9?

Here's how to subtract 5/9 from 6/10:

6
10
5
9

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 6 by 9, and get 54.

Then we multiply 5 by 10, and get 50.

Next we give both terms new denominators -- 10 × 9 = 90.

So now our fractions look like this:

54
90
50
90

Step 2

Since our denominators match, we can subtract the numerators.

54 − 50 = 4

So the answer is:

4
90

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:

4
90
÷ 2 =
2
45

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

No good. 3 is larger than 2. So we're done reducing.

There you have it! The final answer is:
6
10
5
9
=
2
45