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What is 50/8 - 7/12?

What is 50/8 - 7/12?

Here's how to subtract 7/12 from 50/8:

50
8
7
12

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 12, and get 600.

Then we multiply 7 by 8, and get 56.

Next we give both terms new denominators -- 8 × 12 = 96.

So now our fractions look like this:

600
96
56
96

Step 2

Since our denominators match, we can subtract the numerators.

600 − 56 = 544

So the answer is:

544
96

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:

544
96
÷ 2 =
272
48

Let's try dividing by 2 again...

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

272
48
÷ 2 =
136
24

Let's try dividing by 2 again...

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

136
24
÷ 2 =
68
12

Let's try dividing by 2 again...

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

68
12
÷ 2 =
34
6

Let's try dividing by 2 again...

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

34
6
÷ 2 =
17
3

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.

There you have it! The final answer is:
50
8
7
12
=
17
3