math help

What is 87/100 + 4/8?

What is 87/100 + 4/8?

This is how we add

87
100
+
4
8

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 87 by 8, and get 696, then we multiply 100 by 8 and get 800.

87/100 times 8

Now for the second term. You multiply 4 by 100, and get 400, then multiply 100 by 8 and get 800.

4/8 times 100

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

696
800
+
400
800

Step 2

Since our denominators match, we can add the numerators.

696 + 400 = 1096

That gives us the sum, which is

1096
800

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:

1096
800
÷ 2 =
548
400

Now, try the same number again.

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

548
400
÷ 2 =
274
200

Now, try the same number again.

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

274
200
÷ 2 =
137
100

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...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

No good. 101 is larger than 100. So we're done reducing.

Congratulations! Here's your final answer to 87/100 + 4/8

87
100
+
4
8
=
137
100
© 2014 Randy Tayler