math help

What is 64/17 + 6/10?

What is 64/17 + 6/10?

This is how to add

64
17
 +
6
10

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 64 by 10, and get 640, then we multiply 17 by 10 and get 170.

64/17 times 10

Now for the second term. You multiply 6 by 17, and get 102, then multiply 17 by 10 and get 170.

6/10 times 17

This gives us a new problem that looks like so:

640
170
 +
102
170

Step 2

Since our denominators match, we can add the numerators.

640 + 102 = 742

That gives us an answer of

742
170

Step 3

Can this fraction be reduced?

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

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

742
170
 ÷ 2 =
371
85

Now, try the same number again.

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

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...

No good. 89 is larger than 85. So we're done reducing.

Congratulations! Here's your final answer to 64/17 + 6/10

64
17
 +
6
10
 =
371
85
© 2014 Randy Tayler

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