math help

What is 100/72 + 4/6?

What is 100/72 + 4/6?

Here's how to add

100
72
 +
4
6

Step 1

We have to make sure the denominators are equal.

Since 6 is evenly divided by 72, we can multiply just one term to get a common denominator.

Multiply 4 by 12, and get 48, then we multiply 6 by 12 and get 72.

4/6 times 12

The problem now has new fractions to add:

100
72
 +
48
72

Step 2

Since our denominators match, we can add the numerators.

100 + 48 = 148

The sum we get is

148
72

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:

148
72
 ÷ 2 =
74
36

So far so good... let's try to divide by that number again.

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

74
36
 ÷ 2 =
37
18

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. 19 is larger than 18. So we're done reducing.

And we're done! Here's the final answer to 100/72 + 4/6

100
72
 +
4
6
 =
37
18
© 2014 Randy Tayler

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