math help

What is 87/100 + 3/4?

What is 87/100 + 3/4?

Here's how you add

87
100
+
3
4

Step 1

We have to make sure the denominators are equal.

Since 4 is evenly divided by 100, we can multiply just one term to get a common denominator.

Multiply 3 by 25, and get 75, then we multiply 4 by 25 and get 100.

3/4 times 25

The problem now has new fractions to add:

87
100
+
75
100

Step 2

Since our denominators match, we can add the numerators.

87 + 75 = 162

This yields the answer

162
100

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:

162
100
÷ 2 =
81
50

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. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. 53 is larger than 50. So we're done reducing.

And we're done! Here's the final answer to 87/100 + 3/4

87
100
+
3
4
=
81
50
© 2014 Randy Tayler