math help

What is 60/48 + 3/10?

What is 60/48 + 3/10?

This is how you add

60
48
+
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 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 3 by 48, and get 144, then multiply 48 by 10 and get 480.

3/10 times 48

This gives us a new problem that looks like so:

600
480
+
144
480

Step 2

Since our denominators match, we can add the numerators.

600 + 144 = 744

That gives us an answer of

744
480

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:

744
480
÷ 2 =
372
240

Now, try the same number again.

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

372
240
÷ 2 =
186
120

Now, try the same number again.

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

186
120
÷ 2 =
93
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:

93
60
÷ 3 =
31
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 + 3/10

60
48
+
3
10
=
31
20
© 2014 Randy Tayler