math help

What is 78/92 + 6/8?

What is 78/92 + 6/8?

This is how you add

78
92
+
6
8

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 78 by 8, and get 624, then we multiply 92 by 8 and get 736.

78/92 times 8

Do the same for the second term. We multiply 6 by 92, and get 552, then multiply 92 by 8 and get 736.

6/8 times 92

So now our fractions look like this:

624
736
+
552
736

Step 2

Since our denominators match, we can add the numerators.

624 + 552 = 1176

So the answer is:

1176
736

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

1176
736
÷ 2 =
588
368

Now, try the same number again.

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

588
368
÷ 2 =
294
184

Now, try the same number again.

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

294
184
÷ 2 =
147
92

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...

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 92. So we're done reducing.

Congratulations! Here's your final answer to 78/92 + 6/8

78
92
+
6
8
=
147
92
© 2014 Randy Tayler