math help

What is 99/7 + 1/10?

What is 99/7 + 1/10?

Here's how you add

99
7
+
1
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 99 by 10, and get 990, then we multiply 7 by 10 and get 70.

99/7 times 10

Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 10 and get 70.

1/10 times 7

This gives us a new problem that looks like so:

990
70
+
7
70

Step 2

Since our denominators match, we can add the numerators.

990 + 7 = 997

So what's the answer so far?

997
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 99/7 + 1/10

99
7
+
1
10
=
997
70
© 2014 Randy Tayler