math help

What is 60/48 + 9/10?

What is 60/48 + 9/10?

Let's add

60
48
+
9
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 9 by 48, and get 432, then multiply 48 by 10 and get 480.

9/10 times 48

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

600
480
+
432
480

Step 2

Since our denominators match, we can add the numerators.

600 + 432 = 1032

That gives us the sum, which is

1032
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:

1032
480
÷ 2 =
516
240

Now, try the same number again.

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

516
240
÷ 2 =
258
120

Now, try the same number again.

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

258
120
÷ 2 =
129
60

Now, try the same number again.

Nope. Try the next prime number, 3...

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

129
60
÷ 3 =
43
20

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

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

Congratulations! Here's your final answer to 60/48 + 9/10

60
48
+
9
10
=
43
20
© 2014 Randy Tayler