math help

What is 64/16 + 6/7?

What is 64/16 + 6/7?

This is how you add

64
16
+
6
7

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 7, and get 448, then we multiply 16 by 7 and get 112.

64/16 times 7

Now for the second term. You multiply 6 by 16, and get 96, then multiply 16 by 7 and get 112.

6/7 times 16

This gives us a new problem that looks like so:

448
112
+
96
112

Step 2

Since our denominators match, we can add the numerators.

448 + 96 = 544

So what's the answer so far?

544
112

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:

544
112
÷ 2 =
272
56

Let's try dividing by that again...

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

272
56
÷ 2 =
136
28

Let's try dividing by that again...

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

136
28
÷ 2 =
68
14

Let's try dividing by that again...

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

68
14
÷ 2 =
34
7

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 7. So we're done reducing.

There you have it! Here's the final answer to 64/16 + 6/7

64
16
+
6
7
=
34
7
© 2014 Randy Tayler