math help

What is 9/17 + 78/92?

What is 9/17 + 78/92?

Here's how to add

9
17
+
78
92

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 9 by 92, and get 828, then we multiply 17 by 92 and get 1564.

9/17 times 92

Do the same for the second term. We multiply 78 by 17, and get 1326, then multiply 17 by 92 and get 1564.

78/92 times 17

So now our fractions look like this:

828
1564
+
1326
1564

Step 2

Since our denominators match, we can add the numerators.

828 + 1326 = 2154

Now we have an answer.

2154
1564

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:

2154
1564
÷ 2 =
1077
782

Now, try the same number again.

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

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Nope. Try the next prime number, 647...

Nope. Try the next prime number, 653...

Nope. Try the next prime number, 659...

Nope. Try the next prime number, 661...

Nope. Try the next prime number, 673...

Nope. Try the next prime number, 677...

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Nope. Try the next prime number, 691...

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Nope. Try the next prime number, 719...

Nope. Try the next prime number, 727...

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Nope. Try the next prime number, 739...

Nope. Try the next prime number, 743...

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Nope. Try the next prime number, 761...

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Nope. Try the next prime number, 773...

Nope. Try the next prime number, 787...

No good. 787 is larger than 782. So we're done reducing.

Congratulations! Here's your final answer to 9/17 + 78/92

9
17
+
78
92
=
1077
782
© 2014 Randy Tayler