math help

What is 60/48 + 1/10?

What is 60/48 + 1/10?

Here's how to add

60
48
+
1
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 60 by 10, and get 600, then we multiply 48 by 10 and get 480.

60/48 times 10

Now for the second term. You multiply 1 by 48, and get 48, then multiply 48 by 10 and get 480.

1/10 times 48

We now have a new problem, that looks like this:

600
480
+
48
480

Step 2

Since our denominators match, we can add the numerators.

600 + 48 = 648

That gives us the sum, which is

648
480

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

648
480
÷ 2 =
324
240

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:

324
240
÷ 2 =
162
120

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:

162
120
÷ 2 =
81
60

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

81
60
÷ 3 =
27
20

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 5...

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

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. 23 is larger than 20. So we're done reducing.

And we're done! Here's the final answer to 60/48 + 1/10

60
48
+
1
10
=
27
20
© 2014 Randy Tayler