math help

What is 57/7 + 6/8?

What is 57/7 + 6/8?

Let's add

57
7
+
6
8

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 57 by 8, and get 456, then we multiply 7 by 8 and get 56.

57/7 times 8

Do the same for the second term. We multiply 6 by 7, and get 42, then multiply 7 by 8 and get 56.

6/8 times 7

The problem now has new fractions to add:

456
56
+
42
56

Step 2

Since our denominators match, we can add the numerators.

456 + 42 = 498

The sum we get is

498
56

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:

498
56
÷ 2 =
249
28

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...

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

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

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

No good. 29 is larger than 28. So we're done reducing.

There you have it! Here's the final answer to 57/7 + 6/8

57
7
+
6
8
=
249
28
© 2014 Randy Tayler