math help

What is 48/30 + 7/12?

What is 48/30 + 7/12?

This is how to add

48
30
+
7
12

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 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 7 by 30, and get 210, then multiply 30 by 12 and get 360.

7/12 times 30

This gives us a new problem that looks like so:

576
360
+
210
360

Step 2

Since our denominators match, we can add the numerators.

576 + 210 = 786

That gives us an answer of

786
360

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:

786
360
÷ 2 =
393
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:

393
180
÷ 3 =
131
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 + 7/12

48
30
+
7
12
=
131
60
© 2014 Randy Tayler