math help

What is 64/16 + 8/10?

What is 64/16 + 8/10?

Here's how to add

64
16
+
8
10

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 64 by 10, and get 640, then we multiply 16 by 10 and get 160.

64/16 times 10

Do the same for the second term. We multiply 8 by 16, and get 128, then multiply 16 by 10 and get 160.

8/10 times 16

The problem now has new fractions to add:

640
160
+
128
160

Step 2

Since our denominators match, we can add the numerators.

640 + 128 = 768

This yields the answer

768
160

Step 3

The last step is to reduce the fraction if we can.

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:

768
160
÷ 2 =
384
80

So far so good... let's try to divide by that number again.

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

384
80
÷ 2 =
192
40

So far so good... let's try to divide by that number again.

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

192
40
÷ 2 =
96
20

So far so good... let's try to divide by that number again.

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

96
20
÷ 2 =
48
10

So far so good... let's try to divide by that number again.

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

48
10
÷ 2 =
24
5

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. 7 is larger than 5. So we're done reducing.

And we're done! Here's the final answer to 64/16 + 8/10

64
16
+
8
10
=
24
5
© 2014 Randy Tayler