math help

What is 50/8 - 10/12?

What is 50/8 - 10/12?

Here's how to subtract 10/12 from 50/8:

50
8
 −
10
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 10 by 8, and get 80.

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

So now our fractions look like this:

600
96
 −
80
96

Step 2

Since our denominators match, we can subtract the numerators.

600 − 80 = 520

So the answer is:

520
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:

520
96
 ÷ 2 =
260
48

Let's try dividing by 2 again...

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

260
48
 ÷ 2 =
130
24

Let's try dividing by 2 again...

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

130
24
 ÷ 2 =
65
12

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...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

No good. 13 is larger than 12. So we're done reducing.

There you have it! The final answer is:
50
8
 −
10
12
 =
65
12

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