math help

What is 60/48 + 2/5?

What is 60/48 + 2/5?

This is how we add

60
48
+
2
5

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 5, and get 300, then we multiply 48 by 5 and get 240.

60/48 times 5

Now for the second term. You multiply 2 by 48, and get 96, then multiply 48 by 5 and get 240.

2/5 times 48

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

300
240
+
96
240

Step 2

Since our denominators match, we can add the numerators.

300 + 96 = 396

Answer:

396
240

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:

396
240
÷ 2 =
198
120

Now, try the same number again.

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

198
120
÷ 2 =
99
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:

99
60
÷ 3 =
33
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 + 2/5

60
48
+
2
5
=
33
20
© 2014 Randy Tayler