math help

What is 87/100 + 3/6?

What is 87/100 + 3/6?

Here's how to add

87
100
 +
3
6

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 87 by 6, and get 522, then we multiply 100 by 6 and get 600.

87/100 times 6

Do the same for the second term. We multiply 3 by 100, and get 300, then multiply 100 by 6 and get 600.

3/6 times 100

So now our fractions look like this:

522
600
 +
300
600

Step 2

Since our denominators match, we can add the numerators.

522 + 300 = 822

Now we have an answer.

822
600

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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:

822
600
 ÷ 2 =
411
300

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

411
300
 ÷ 3 =
137
100

Now, try the same number again.

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 + 3/6

87
100
 +
3
6
 =
137
100
© 2014 Randy Tayler

3/6 + 1/2
3/6 - 1/2
3/6 + 1/3
3/6 - 1/3
3/6 + 2/3
3/6 - 2/3
3/6 + 1/4
3/6 - 1/4
3/6 + 2/4
3/6 - 2/4
3/6 + 3/4
3/6 - 3/4
3/6 + 1/5
3/6 - 1/5
3/6 + 2/5
3/6 - 2/5
3/6 + 3/5
3/6 - 3/5
3/6 + 4/5
3/6 - 4/5
3/6 + 1/6
3/6 - 1/6
3/6 + 2/6
3/6 - 2/6
3/6 + 3/6
3/6 - 3/6
3/6 + 4/6
3/6 - 4/6
3/6 + 5/6
3/6 - 5/6
3/6 + 1/7
3/6 - 1/7
3/6 + 2/7
3/6 - 2/7
3/6 + 3/7
3/6 - 3/7
3/6 + 4/7
3/6 - 4/7
3/6 + 5/7
3/6 - 5/7
3/6 + 6/7
3/6 - 6/7
3/6 + 1/8
3/6 - 1/8
3/6 + 2/8
3/6 - 2/8
3/6 + 3/8
3/6 - 3/8
3/6 + 4/8
3/6 - 4/8
3/6 + 5/8
3/6 - 5/8
3/6 + 6/8
3/6 - 6/8
3/6 + 7/8
3/6 - 7/8
3/6 + 1/9
3/6 - 1/9
3/6 + 2/9
3/6 - 2/9
3/6 + 3/9
3/6 - 3/9
3/6 + 4/9
3/6 - 4/9
3/6 + 5/9
3/6 - 5/9
3/6 + 6/9
3/6 - 6/9
3/6 + 7/9
3/6 - 7/9
3/6 + 8/9
3/6 - 8/9
3/6 + 1/10
3/6 - 1/10
3/6 + 2/10
3/6 - 2/10
3/6 + 3/10
3/6 - 3/10
3/6 + 4/10
3/6 - 4/10
3/6 + 5/10
3/6 - 5/10
3/6 + 6/10
3/6 - 6/10
3/6 + 7/10
3/6 - 7/10
3/6 + 8/10
3/6 - 8/10
3/6 + 9/10
3/6 - 9/10
3/6 + 1/11
3/6 - 1/11
3/6 + 2/11
3/6 - 2/11
3/6 + 3/11
3/6 - 3/11
3/6 + 4/11
3/6 - 4/11
3/6 + 5/11
3/6 - 5/11
3/6 + 6/11
3/6 - 6/11
3/6 + 7/11
3/6 - 7/11
3/6 + 8/11
3/6 - 8/11
3/6 + 9/11
3/6 - 9/11
3/6 + 10/11
3/6 - 10/11
3/6 + 1/12
3/6 - 1/12
3/6 + 2/12
3/6 - 2/12
3/6 + 3/12
3/6 - 3/12
3/6 + 4/12
3/6 - 4/12
3/6 + 5/12
3/6 - 5/12
3/6 + 6/12
3/6 - 6/12
3/6 + 7/12
3/6 - 7/12
3/6 + 8/12
3/6 - 8/12
3/6 + 9/12
3/6 - 9/12
3/6 + 10/12
3/6 - 10/12
3/6 + 11/12
3/6 - 11/12