math help

What is 64/16 + 3/10?

What is 64/16 + 3/10?

This is how you add

64
16
+
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 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 3 by 16, and get 48, then multiply 16 by 10 and get 160.

3/10 times 16

This gives us a new problem that looks like so:

640
160
+
48
160

Step 2

Since our denominators match, we can add the numerators.

640 + 48 = 688

So what's the answer so far?

688
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:

688
160
÷ 2 =
344
80

Let's try dividing by that again...

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

344
80
÷ 2 =
172
40

Let's try dividing by that again...

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

172
40
÷ 2 =
86
20

Let's try dividing by that again...

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

86
20
÷ 2 =
43
10

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

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

There you have it! Here's the final answer to 64/16 + 3/10

64
16
+
3
10
=
43
10
© 2014 Randy Tayler