math help

What is 9/34 - 1/4?

What is 9/34 - 1/4?

Here's how to subtract 1/4 from 9/34:

9
34
1
4

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 9 by 4, and get 36.

Then we multiply 1 by 34, and get 34.

Next we give both terms new denominators -- 34 × 4 = 136.

So now our fractions look like this:

36
136
34
136

Step 2

Since our denominators match, we can subtract the numerators.

36 − 34 = 2

So the answer is:

2
136

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:

2
136
÷ 2 =
1
68

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:
9
34
1
4
=
1
68