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1.The fraction that is found halfway between 5/16 and 7/11 is:

2006-08-10 16:25:46 · 13 answers · asked by joe j 1 in Education & Reference Homework Help

13 answers

Answer: 167/352. A simple proof, the point mid-way between (5/16) and (7/11) is the average of the two numbers, just as the point midway between 2 and 4 is 3 (the average of them). So, to average, we give both numbers the same denominator and then add them. 16 * 11 = 176. That gives us 55/176 in place of our 5/16 (they're equivalent, plug them into a calulator if you don't believe me) and 112/176. We then add these numbers... and end up with 167/176. But... we still have to divide by 2 to find the average (2 + 4) / 2 = 3, in the simplified example I gave. When we divide by 2, that's the same as multiplying by (1/2). That gives us 167 / 352, and the answer to your question.

2006-08-10 16:32:19 · answer #1 · answered by Kevin 3 · 1 0

first multiply each fraction so that they both have same denominators
5/16 x 11/11 = 55/176
7/11 x 16/16 = 112/176
112 - 55 = 57, half of 57 is 28.5
112 - 28.5 = 83.5
55 + 28.5 = 83.5
83.5/176 is halfway between 5/16 and 7/11

2006-08-11 12:58:01 · answer #2 · answered by creative_idea_thinker 2 · 0 0

(5/16+7/11)/2 = 167/352

2006-08-10 23:32:27 · answer #3 · answered by mathguy_99 2 · 1 0

5/16 = 55/176
7/11 = 112/176
mdpt is 83.5/176 or 167/352

2006-08-11 02:25:20 · answer #4 · answered by someone 5 · 0 0

5/16 = 55/176
7/11 = 112/176
midpoint is 83.5/176 or 167/352

2006-08-10 23:34:11 · answer #5 · answered by The Beast 6 · 1 0

167/352. why are you doing math in the summer? get a graphing calculator, add your two fractions together, divide by two, change it back into a fraction and you get 167/352. honestly its not that hard...

2006-08-10 23:34:15 · answer #6 · answered by all the same eternity 2 · 0 0

8/10

2006-08-10 23:44:09 · answer #7 · answered by paulus 3 · 0 0

167/352

2006-08-10 23:56:13 · answer #8 · answered by Melody 2 · 0 0

167/352

2006-08-10 23:32:54 · answer #9 · answered by Empty Spaces 4 · 0 0

167/352

2006-08-10 23:33:35 · answer #10 · answered by ? 5 · 1 0

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