math help

What is 57/7 + 1/4?

What is 57/7 + 1/4?

This is how to add

57
7
+
1
4

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 57 by 4, and get 228, then we multiply 7 by 4 and get 28.

57/7 times 4

Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 4 and get 28.

1/4 times 7

This gives us a new problem that looks like so:

228
28
+
7
28

Step 2

Since our denominators match, we can add the numerators.

228 + 7 = 235

So what's the answer so far?

235
28

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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 + 1/4

57
7
+
1
4
=
235
28
© 2014 Randy Tayler