math help

What is 78/92 + 5/6?

What is 78/92 + 5/6?

This is how to add

78
92
+
5
6

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 78 by 6, and get 468, then we multiply 92 by 6 and get 552.

78/92 times 6

Now for the second term. You multiply 5 by 92, and get 460, then multiply 92 by 6 and get 552.

5/6 times 92

This gives us a new problem that looks like so:

468
552
+
460
552

Step 2

Since our denominators match, we can add the numerators.

468 + 460 = 928

So what's the answer so far?

928
552

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

928
552
÷ 2 =
464
276

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

464
276
÷ 2 =
232
138

Now, try the same number again.

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

232
138
÷ 2 =
116
69

Now, try the same number again.

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...

No good. 71 is larger than 69. So we're done reducing.

Congratulations! Here's your final answer to 78/92 + 5/6

78
92
+
5
6
=
116
69
© 2014 Randy Tayler