math help

What is 57/7 + 7/10?

What is 57/7 + 7/10?

Here's how we add

57
7
+
7
10

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 10, and get 570, then we multiply 7 by 10 and get 70.

57/7 times 10

Now for the second term. You multiply 7 by 7, and get 49, then multiply 7 by 10 and get 70.

7/10 times 7

This gives us a new problem that looks like so:

570
70
+
49
70

Step 2

Since our denominators match, we can add the numerators.

570 + 49 = 619

That gives us an answer of

619
70

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...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

No good. 71 is larger than 70. So we're done reducing.

There you have it! Here's the final answer to 57/7 + 7/10

57
7
+
7
10
=
619
70
© 2014 Randy Tayler