math help

What is 20/64 + 3/10?

What is 20/64 + 3/10?

This is how to add

20
64
+
3
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 20 by 10, and get 200, then we multiply 64 by 10 and get 640.

20/64 times 10

Now for the second term. You multiply 3 by 64, and get 192, then multiply 64 by 10 and get 640.

3/10 times 64

This gives us a new problem that looks like so:

200
640
+
192
640

Step 2

Since our denominators match, we can add the numerators.

200 + 192 = 392

That gives us an answer of

392
640

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:

392
640
÷ 2 =
196
320

Now, try the same number again.

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

196
320
÷ 2 =
98
160

Now, try the same number again.

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

98
160
÷ 2 =
49
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...

No good. 53 is larger than 49. So we're done reducing.

Congratulations! Here's your final answer to 20/64 + 3/10

20
64
+
3
10
=
49
80
© 2014 Randy Tayler