math help

What is 60/48 + 4/6?

What is 60/48 + 4/6?

This is how to add

60
48
 +
4
6

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

Since 6 is evenly divided by 48, we can multiply just one term to get a common denominator.

Multiply 4 by 8, and get 32, then we multiply 6 by 8 and get 48.

4/6 times 8

The problem now has new fractions to add:

60
48
 +
32
48

Step 2

Since our denominators match, we can add the numerators.

60 + 32 = 92

The sum we get is

92
48

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

92
48
 ÷ 2 =
46
24

Now, try the same number again.

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

46
24
 ÷ 2 =
23
12

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...

No good. 13 is larger than 12. So we're done reducing.

Congratulations! Here's your final answer to 60/48 + 4/6

60
48
 +
4
6
 =
23
12
© 2014 Randy Tayler

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