math help

What is 7/11 + 6/10?

What is 7/11 + 6/10?

This is how to add

7
11
 +
6
10

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 7 by 10, and get 70, then we multiply 11 by 10 and get 110.

7/11 times 10

Do the same for the second term. We multiply 6 by 11, and get 66, then multiply 11 by 10 and get 110.

6/10 times 11

The problem now has new fractions to add:

70
110
 +
66
110

Step 2

Since our denominators match, we can add the numerators.

70 + 66 = 136

This yields the answer

136
110

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:

136
110
 ÷ 2 =
68
55

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...

No good. 59 is larger than 55. So we're done reducing.

Congratulations! Here's your final answer to 7/11 + 6/10

7
11
 +
6
10
 =
68
55
© 2014 Randy Tayler

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