math help

What is 55/55 + 6/10?

What is 55/55 + 6/10?

Here's how to add

55
55
+
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 55 by 10, and get 550, then we multiply 55 by 10 and get 550.

55/55 times 10

Do the same for the second term. We multiply 6 by 55, and get 330, then multiply 55 by 10 and get 550.

6/10 times 55

The problem now has new fractions to add:

550
550
+
330
550

Step 2

Since our denominators match, we can add the numerators.

550 + 330 = 880

The sum we get is

880
550

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:

880
550
÷ 2 =
440
275

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

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

440
275
÷ 5 =
88
55

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

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

88
55
÷ 11 =
8
5

Let's try dividing by that again...

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

There you have it! Here's the final answer to 55/55 + 6/10

55
55
+
6
10
=
8
5
© 2014 Randy Tayler