math help

What is 95/29 + 9/12?

What is 95/29 + 9/12?

Here's how you add

95
29
 +
9
12

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 95 by 12, and get 1140, then we multiply 29 by 12 and get 348.

95/29 times 12

Now for the second term. You multiply 9 by 29, and get 261, then multiply 29 by 12 and get 348.

9/12 times 29

This gives us a new problem that looks like so:

1140
348
 +
261
348

Step 2

Since our denominators match, we can add the numerators.

1140 + 261 = 1401

That gives us an answer of

1401
348

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

1401
348
 ÷ 3 =
467
116

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

No good. 127 is larger than 116. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 9/12

95
29
 +
9
12
 =
467
116
© 2014 Randy Tayler

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