math help

What is 4/40 + 11/12?

What is 4/40 + 11/12?

Here's how we add

4
40
+
11
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 4 by 12, and get 48, then we multiply 40 by 12 and get 480.

4/40 times 12

Now for the second term. You multiply 11 by 40, and get 440, then multiply 40 by 12 and get 480.

11/12 times 40

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

48
480
+
440
480

Step 2

Since our denominators match, we can add the numerators.

48 + 440 = 488

Answer:

488
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:

488
480
÷ 2 =
244
240

Now, try the same number again.

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

244
240
÷ 2 =
122
120

Now, try the same number again.

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

122
120
÷ 2 =
61
60

Now, try the same number again.

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

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 4/40 + 11/12

4
40
+
11
12
=
61
60
© 2014 Randy Tayler

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