How do I find the answer to (10/11)² - 1/11 • 1 1/12= ? No matter how I work it I'm told my answer is wrong. Note: 99 119/132 isn't the answer. I got that by (10/11)² = 100/121, 1/11 • 1 1/12= 13/132, so 100/121 - 13/132 = 99 119/132
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1 Answer

How do I find the answer to (10/11)² - 1/11 • 1 1/12= ? No matter how I work it I'm told my answer is wrong. Note: 99 119/132 isn't the answer. I got that by (10/11)² = 100/121, 1/11 • 1 1/12= 13/132, so 100/121 - 13/132 = 99 119/132

Please note that your last computation, 100/121 - 13/132 = 99 119/132 is where you went wrong.

You final result, 99 119/132, you would get from, 100 - 13/132 = 99 119/132.

It looks as though you simply forgot to divide by 121!

The answer is:

100/121 - 13/132 = (100*132 – 13*121) / (121 * 132)

100/121 - 13/132 = (13200 – 1573) / (15,972)

100/121 - 13/132 = (11,627) / (15,972) = 1057/1452  (take out a factor of 11, top and bottom)

Answer: 1057/1452

by Level 11 User (81.5k points)

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