math help

What is 57/7 + 2/4?

What is 57/7 + 2/4?

Here's how to add

57
7
+
2
4

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 4, and get 228, then we multiply 7 by 4 and get 28.

57/7 times 4

Do the same for the second term. We multiply 2 by 7, and get 14, then multiply 7 by 4 and get 28.

2/4 times 7

The problem now has new fractions to add:

228
28
+
14
28

Step 2

Since our denominators match, we can add the numerators.

228 + 14 = 242

The sum we get is

242
28

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:

242
28
÷ 2 =
121
14

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...

No good. 17 is larger than 14. So we're done reducing.

Congratulations! Here's your final answer to 57/7 + 2/4

57
7
+
2
4
=
121
14
© 2014 Randy Tayler