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What is one half plus one third plus one fourth plus one fifth plus one sixth plus one seventh plus one eighth plus one ninth math question for sixth grade?
Wiki User
∙ 10y ago
The easier way to do this problem would be to convert all the fractions to decimal form, and then just add them up, however, that would only give an approximate answer which may not be what is intended. The more precise answer is to convert all these fractions to other, equivalent fractions which all have the same denominator. This requires us first of all to find a common denominator. We do not have to multiply all nine denominators together since some of them are divisible by each other. Anything divisible by 4 is also divisible by 2, any thing divisible by 6 is also divisible by 3, and so forth. I am going to try 2520 (which is 5 x 7 x 8 x 9). 1/2 x 1260/1260 = 1260/2520. 1/3 x 840/840 = 840/2520. 1/4 x 630/630 = 630/2520. 1/5 x 504/504 = 504/2520. 1/6 x 420/420 = 420/2520. 1/7 x 360/360 = 360/2520. 1/8 x 315/315 = 315/2520. And 1/9 x 280/280 = 280/2520. This converts all the fractions into 2520ths. Now we add them up:
1260
840
630
504
420
360
315
280
___
4609, so the total is 4609/2520. This does not simplify.
Wiki User
∙ 10y ago
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