math help

What is 9/32 + 1/7?

What is 9/32 + 1/7?

Here's how to add

9
32
+
1
7

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 9 by 7, and get 63, then we multiply 32 by 7 and get 224.

9/32 times 7

Now for the second term. You multiply 1 by 32, and get 32, then multiply 32 by 7 and get 224.

1/7 times 32

This gives us a new problem that looks like so:

63
224
+
32
224

Step 2

Since our denominators match, we can add the numerators.

63 + 32 = 95

That gives us an answer of

95
224

Step 3

Can this fraction be reduced?

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

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...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

No good. 97 is larger than 95. So we're done reducing.

Congratulations! Here's your final answer to 9/32 + 1/7

9
32
+
1
7
=
95
224
© 2014 Randy Tayler