math help

What is 95/29 - 4/6?

What is 95/29 - 4/6?

Here's how to subtract 4/6 from 95/29:

95
29
 −
4
6

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 95 by 6, and get 570.

Then we multiply 4 by 29, and get 116.

Next we give both terms new denominators -- 29 × 6 = 174.

So now our fractions look like this:

570
174
 −
116
174

Step 2

Since our denominators match, we can subtract the numerators.

570 − 116 = 454

So the answer is:

454
174

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:

454
174
 ÷ 2 =
227
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...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

Nope! So now we try the next greatest prime number, 83...

Nope! So now we try the next greatest prime number, 89...

No good. 89 is larger than 87. So we're done reducing.

There you have it! The final answer is:
95
29
 −
4
6
 =
227
87

4/6 + 1/2
4/6 - 1/2
4/6 + 1/3
4/6 - 1/3
4/6 + 2/3
4/6 - 2/3
4/6 + 1/4
4/6 - 1/4
4/6 + 2/4
4/6 - 2/4
4/6 + 3/4
4/6 - 3/4
4/6 + 1/5
4/6 - 1/5
4/6 + 2/5
4/6 - 2/5
4/6 + 3/5
4/6 - 3/5
4/6 + 4/5
4/6 - 4/5
4/6 + 1/6
4/6 - 1/6
4/6 + 2/6
4/6 - 2/6
4/6 + 3/6
4/6 - 3/6
4/6 + 4/6
4/6 - 4/6
4/6 + 5/6
4/6 - 5/6
4/6 + 1/7
4/6 - 1/7
4/6 + 2/7
4/6 - 2/7
4/6 + 3/7
4/6 - 3/7
4/6 + 4/7
4/6 - 4/7
4/6 + 5/7
4/6 - 5/7
4/6 + 6/7
4/6 - 6/7
4/6 + 1/8
4/6 - 1/8
4/6 + 2/8
4/6 - 2/8
4/6 + 3/8
4/6 - 3/8
4/6 + 4/8
4/6 - 4/8
4/6 + 5/8
4/6 - 5/8
4/6 + 6/8
4/6 - 6/8
4/6 + 7/8
4/6 - 7/8
4/6 + 1/9
4/6 - 1/9
4/6 + 2/9
4/6 - 2/9
4/6 + 3/9
4/6 - 3/9
4/6 + 4/9
4/6 - 4/9
4/6 + 5/9
4/6 - 5/9
4/6 + 6/9
4/6 - 6/9
4/6 + 7/9
4/6 - 7/9
4/6 + 8/9
4/6 - 8/9
4/6 + 1/10
4/6 - 1/10
4/6 + 2/10
4/6 - 2/10
4/6 + 3/10
4/6 - 3/10
4/6 + 4/10
4/6 - 4/10
4/6 + 5/10
4/6 - 5/10
4/6 + 6/10
4/6 - 6/10
4/6 + 7/10
4/6 - 7/10
4/6 + 8/10
4/6 - 8/10
4/6 + 9/10
4/6 - 9/10
4/6 + 1/11
4/6 - 1/11
4/6 + 2/11
4/6 - 2/11
4/6 + 3/11
4/6 - 3/11
4/6 + 4/11
4/6 - 4/11
4/6 + 5/11
4/6 - 5/11
4/6 + 6/11
4/6 - 6/11
4/6 + 7/11
4/6 - 7/11
4/6 + 8/11
4/6 - 8/11
4/6 + 9/11
4/6 - 9/11
4/6 + 10/11
4/6 - 10/11
4/6 + 1/12
4/6 - 1/12
4/6 + 2/12
4/6 - 2/12
4/6 + 3/12
4/6 - 3/12
4/6 + 4/12
4/6 - 4/12
4/6 + 5/12
4/6 - 5/12
4/6 + 6/12
4/6 - 6/12
4/6 + 7/12
4/6 - 7/12
4/6 + 8/12
4/6 - 8/12
4/6 + 9/12
4/6 - 9/12
4/6 + 10/12
4/6 - 10/12
4/6 + 11/12
4/6 - 11/12