math help

What is 78/92 + 8/9?

What is 78/92 + 8/9?

Here's how you add

78
92
+
8
9

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 78 by 9, and get 702, then we multiply 92 by 9 and get 828.

78/92 times 9

Now for the second term. You multiply 8 by 92, and get 736, then multiply 92 by 9 and get 828.

8/9 times 92

We now have a new problem, that looks like this:

702
828
+
736
828

Step 2

Since our denominators match, we can add the numerators.

702 + 736 = 1438

Answer:

1438
828

Step 3

Now, do we need to simplify this fraction?

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

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

1438
828
÷ 2 =
719
414

Now, try the same number again.

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Nope. Try the next prime number, 311...

Nope. Try the next prime number, 313...

Nope. Try the next prime number, 317...

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Nope. Try the next prime number, 337...

Nope. Try the next prime number, 347...

Nope. Try the next prime number, 349...

Nope. Try the next prime number, 353...

Nope. Try the next prime number, 359...

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Nope. Try the next prime number, 419...

No good. 419 is larger than 414. So we're done reducing.

Congratulations! Here's your final answer to 78/92 + 8/9

78
92
+
8
9
=
719
414
© 2014 Randy Tayler