## Sunday, October 21, 2007

Which is larger, 1/2 + 1/6 or 1/4+7/12

a. to compare 2 fractions, we must get the LCD (least common denominator) if the denominator is not the same but if the denominators are the same, we just need to look the difference of the two denominators. we are comparing fractions in with additions, so we are going to use methods such as decimal, percentage, clock, least common denominator, and using pictures.

clock method:

1/2+1/6

1/2 is 30 minutes of an hour
1/2, 1 is one hour
that is 60 minutes divided by
2 which is also the same as 60/2
and 60 divided by 2 is 30 so i got
30 minutes (the half of an hour)

1/6 is about 10 minutes of an hour. 60 divided 6 is equal to 10 minutes and 1/6 is also equal to 10/60. 10 minutes, the numerator, 60 minutes, the denominator

1/4+7/12

1/4 means a quarter of something so 1/4 of 60 minutes is 15 minutes (1/4*60) or 60 divided by 4 is 15

7/12 is about 35 minutes of an hour. we can count the lines in the circumference of the of the circle, its 12, so we can get the amount of the fraction easily and we just need to count seven lines and then we stop because the denominator is 12

this sites might help:
http://www.webmath.com/k8cf.html

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7/28 + 6/24 ___ 1/3 + 5/6

7/28 can be reduced to 1/4 same as 6/24, so the equation will be easier to understand. it is 1/4 + 1/4 = 1/2 or 30 minutes. 1/3 in a different equation is also 20 minutes of an hour + 5/6 = 50 minutes out of 60. so now we have all the information so 1/4 + 1/4 = 1/2 __ 1/3+5/6 = 7/6. 1/2 is 30minutes plus 7/6 is 1 hr. and 10 mins so 5/6 + 1/3 is totally bigger

#### 1 comment:

Akytrap said...

Scoring Guide

Title 1/1
Label 1/1
Question 3 5/5
Question 4 4/5 3/3
Question 6 5/5
Question 7 3/3
Question 8 5/5
Question 9 5/5
Question 10 7/7

Total 34/35

Great job you really took the time to explain each problem in the most detail :)