math help

What is 95/29 + 3/6?

What is 95/29 + 3/6?

Here's how to add

95
29
 +
3
6

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 6, and get 570, then we multiply 29 by 6 and get 174.

95/29 times 6

Now for the second term. You multiply 3 by 29, and get 87, then multiply 29 by 6 and get 174.

3/6 times 29

This gives us a new problem that looks like so:

570
174
 +
87
174

Step 2

Since our denominators match, we can add the numerators.

570 + 87 = 657

So what's the answer so far?

657
174

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:

657
174
 ÷ 3 =
219
58

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...

No good. 59 is larger than 58. So we're done reducing.

Congratulations! Here's your final answer to 95/29 + 3/6

95
29
 +
3
6
 =
219
58
© 2014 Randy Tayler

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