math help

What is 57/7 + 4/6?

What is 57/7 + 4/6?

Here's how we add

57
7
 +
4
6

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 6, and get 342, then we multiply 7 by 6 and get 42.

57/7 times 6

Do the same for the second term. We multiply 4 by 7, and get 28, then multiply 7 by 6 and get 42.

4/6 times 7

The problem now has new fractions to add:

342
42
 +
28
42

Step 2

Since our denominators match, we can add the numerators.

342 + 28 = 370

This yields the answer

370
42

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:

370
42
 ÷ 2 =
185
21

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. 23 is larger than 21. So we're done reducing.

And we're done! Here's the final answer to 57/7 + 4/6

57
7
 +
4
6
 =
185
21
© 2014 Randy Tayler

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