math help

What is 64/16 + 7/10?

What is 64/16 + 7/10?

This is how to add

64
16
+
7
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 16 by 10 and get 160.

64/16 times 10

Now for the second term. You multiply 7 by 16, and get 112, then multiply 16 by 10 and get 160.

7/10 times 16

This gives us a new problem that looks like so:

640
160
+
112
160

Step 2

Since our denominators match, we can add the numerators.

640 + 112 = 752

That gives us an answer of

752
160

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:

752
160
÷ 2 =
376
80

Now, try the same number again.

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

376
80
÷ 2 =
188
40

Now, try the same number again.

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

188
40
÷ 2 =
94
20

Now, try the same number again.

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

94
20
÷ 2 =
47
10

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...

No good. 11 is larger than 10. So we're done reducing.

Congratulations! Here's your final answer to 64/16 + 7/10

64
16
+
7
10
=
47
10
© 2014 Randy Tayler