What is 9/34 - 3/10?

Here's how to subtract 3/10 from 9/34:

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 10, and get 90.

Then we multiply 3 by 34, and get 102.

Next we give both terms new denominators -- 34 × 10 = 340.

So now our fractions look like this:

Step 2

Since our denominators match, we can subtract the numerators.

90 − 102 = -12

So the answer is:

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:

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

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...

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