math help

What is 48/30 + 1/12?

What is 48/30 + 1/12?

Here's how to add

48
30
+
1
12

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 48 by 12, and get 576, then we multiply 30 by 12 and get 360.

48/30 times 12

Now for the second term. You multiply 1 by 30, and get 30, then multiply 30 by 12 and get 360.

1/12 times 30

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

576
360
+
30
360

Step 2

Since our denominators match, we can add the numerators.

576 + 30 = 606

Answer:

606
360

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:

606
360
÷ 2 =
303
180

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:

303
180
÷ 3 =
101
60

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...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

No good. 61 is larger than 60. So we're done reducing.

Congratulations! Here's your final answer to 48/30 + 1/12

48
30
+
1
12
=
101
60
© 2014 Randy Tayler