math help

What is 63/58 - 10/12?

What is 63/58 - 10/12?

Here's how to subtract 10/12 from 63/58:

63
58
 −
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 63 by 12, and get 756.

Then we multiply 10 by 58, and get 580.

Next we give both terms new denominators -- 58 × 12 = 696.

So now our fractions look like this:

756
696
 −
580
696

Step 2

Since our denominators match, we can subtract the numerators.

756 − 580 = 176

So the answer is:

176
696

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:

176
696
 ÷ 2 =
88
348

Let's try dividing by 2 again...

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

88
348
 ÷ 2 =
44
174

Let's try dividing by 2 again...

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

44
174
 ÷ 2 =
22
87

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...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

No good. 23 is larger than 22. So we're done reducing.

There you have it! The final answer is:
63
58
 −
10
12
 =
22
87

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