math help

What is 78/92 + 6/11?

What is 78/92 + 6/11?

Here's how you add

78
92
+
6
11

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 11, and get 858, then we multiply 92 by 11 and get 1012.

78/92 times 11

Now for the second term. You multiply 6 by 92, and get 552, then multiply 92 by 11 and get 1012.

6/11 times 92

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

858
1012
+
552
1012

Step 2

Since our denominators match, we can add the numerators.

858 + 552 = 1410

Answer:

1410
1012

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:

1410
1012
÷ 2 =
705
506

Now, try the same number again.

Nope. Try the next prime number, 3...

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Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

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Nope. Try the next prime number, 227...

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Nope. Try the next prime number, 233...

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Nope. Try the next prime number, 241...

Nope. Try the next prime number, 251...

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Nope. Try the next prime number, 271...

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Nope. Try the next prime number, 281...

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

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

Nope. Try the next prime number, 331...

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...

Nope. Try the next prime number, 367...

Nope. Try the next prime number, 373...

Nope. Try the next prime number, 379...

Nope. Try the next prime number, 383...

Nope. Try the next prime number, 389...

Nope. Try the next prime number, 397...

Nope. Try the next prime number, 401...

Nope. Try the next prime number, 409...

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

Nope. Try the next prime number, 421...

Nope. Try the next prime number, 431...

Nope. Try the next prime number, 433...

Nope. Try the next prime number, 439...

Nope. Try the next prime number, 443...

Nope. Try the next prime number, 449...

Nope. Try the next prime number, 457...

Nope. Try the next prime number, 461...

Nope. Try the next prime number, 463...

Nope. Try the next prime number, 467...

Nope. Try the next prime number, 479...

Nope. Try the next prime number, 487...

Nope. Try the next prime number, 491...

Nope. Try the next prime number, 499...

Nope. Try the next prime number, 503...

Nope. Try the next prime number, 509...

No good. 509 is larger than 506. So we're done reducing.

Congratulations! Here's your final answer to 78/92 + 6/11

78
92
+
6
11
=
705
506
© 2014 Randy Tayler