math help

What is 20/64 + 6/10?

What is 20/64 + 6/10?

This is how you add

20
64
 +
6
10

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. 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 20 by 10, and get 200, then we multiply 64 by 10 and get 640.

20/64 times 10

Do the same for the second term. We multiply 6 by 64, and get 384, then multiply 64 by 10 and get 640.

6/10 times 64

So now our fractions look like this:

200
640
 +
384
640

Step 2

Since our denominators match, we can add the numerators.

200 + 384 = 584

Now we have an answer.

584
640

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:

584
640
 ÷ 2 =
292
320

Now, try the same number again.

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

292
320
 ÷ 2 =
146
160

Now, try the same number again.

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

146
160
 ÷ 2 =
73
80

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...

No good. 79 is larger than 73. So we're done reducing.

Congratulations! Here's your final answer to 20/64 + 6/10

20
64
 +
6
10
 =
73
80
© 2014 Randy Tayler

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