math help

What is 55/55 + 1/7?

What is 55/55 + 1/7?

This is how to add

55
55
+
1
7

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 55 by 7, and get 385, then we multiply 55 by 7 and get 385.

55/55 times 7

Do the same for the second term. We multiply 1 by 55, and get 55, then multiply 55 by 7 and get 385.

1/7 times 55

The problem now has new fractions to add:

385
385
+
55
385

Step 2

Since our denominators match, we can add the numerators.

385 + 55 = 440

The sum we get is

440
385

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

Nope. Try the next prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

440
385
÷ 5 =
88
77

Now, try the same number again.

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

88
77
÷ 11 =
8
7

Now, try the same number again.

No good. 11 is larger than 8. So we're done reducing.

Congratulations! Here's your final answer to 55/55 + 1/7

55
55
+
1
7
=
8
7
© 2014 Randy Tayler