math help

What is 57/7 + 1/5?

What is 57/7 + 1/5?

Here's how to add

57
7
+
1
5

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 5, and get 285, then we multiply 7 by 5 and get 35.

57/7 times 5

Do the same for the second term. We multiply 1 by 7, and get 7, then multiply 7 by 5 and get 35.

1/5 times 7

The problem now has new fractions to add:

285
35
+
7
35

Step 2

Since our denominators match, we can add the numerators.

285 + 7 = 292

The sum we get is

292
35

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...

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...

No good. 37 is larger than 35. So we're done reducing.

Congratulations! Here's your final answer to 57/7 + 1/5

57
7
+
1
5
=
292
35
© 2014 Randy Tayler