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10 comments:
I chose the one on slide 2 . the 10 / 60 + 1 / 2 . i chsoe this one because it explains a little more about how a clock works.
10 / 60 : lets say you have a 12 hour clock. if you cut that clock into minutes , it would be 60 minutes. so of that 60 minutes , 10 minutes are being used.
1 / 2 : if you have a clock , if you count the numbers on the clock it would be 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 . we'll 12 is on the top. so 1 / 2 is like says divided by 2 or 2 groups of n . so half of 12 is 6 so if you make that into minutes its 30 minutes.
so 10 / 60 + 1/2
=
10 minutes + 30 minutes
=
40 minutes or 40/60 or 4/6 or 2/3
i chose the 1st one on slide 2 1/2 + 1/4. If you were to draw this one like a clock it would have a line connecting to the 12 and the 6 for 1/2 and that would be 30 mins. For 1/4 there would be a line connecting the 12 and the 4 and a line connecting to the 3 and the 9 and that would devide it into 4ths. The 1/4 on a clock would equil 15 mins because from each number on the clock has 5 mins in between it.
To find the answer just add the 15 mins to the 30 mins and you get your answer which is 45 mins.
I chose slide 2...1/6 and 1/2.
If you cut a clock 6 time equally and shaded 1 piece the time would be 10 minutes..(start in middle dot to the outside dot).
I you cut the clock 1/2 EQUALLY its goin to be 30 minutes. You add 'em and you get 40 minutes..
I chose slide 2. 1/2+1/4
Drawing it on a clock would be simple, considering you already know that half an hour is 30 minutes, because there are 60 minutes in an hour and sixty divided by two = thirty. You would draw the hands from the middle to connect to the 12 and the 6.
1/4 of an hour would be simple as well because all you have to do is split the clock into four. one quarter would be hands from the middle connecting to the 12 and to the 3. which is 15 minutes.
All you would do now is add 30 minutes plus 15 minutes and there you have 45 minutes.
From the First slide i chose to do the equation 1/6 + 1/4 + 7/12
If you use a Clock as you diagram to figure out the answer it is much easier. So step one would be finding out how many minutes each fraction would be.
When you look at 1/6 you concentrate on the denominator fist. The clock is divided inot 12 equal sections and each section consists of five minutes so if there is 12 equal sections and you dividing into 6 each sixth would consist of 2 which is 10 minutes.
Then you look at 1/4. Ifthe Clock is seperated into 12 parts but you want four parts you divide 12 by 4 and it would be three small sections which equals 15 minutes
Then you look at 7 / 12 Since the clock is bulit of of 12 pieces you would make seven of htem one section which is 35 ( 7 sections x 5 minutes)
Then you would add it all up 10 + 15 + 35 which = 60 minutes of an hour ,, which is one whole
3/4 + 2/12
I chose to do 3/4 + 2/12. first of all, the sum would have to be out of 60 because we are using clocks. 3/4 would be 45 minutes because 60 minutes divided into 4 equal pieces, would be 15 minutes each. 3 of the 4 sections of 15 minutes, would be 45 minutes. (15+15+15=45) 2/12 would be 10 minutes. 60 minutes divided by 12 would be 5 minutes each. so 2 5's would be 10 minutes. 10 minutes + 45 minutes would equal 55 minutes. the fraction would be 55/60.
clocks help us figure out the answer to fractions because it's a whole being divided into 12 pieces. just like clocks, fractions are wholes divided into pieces.
slide 2: 1/2 + 2/3
1/2 - if you have your clock, 1/2 would be 30 minutes. this is because, there are 60 minutes in an hour, so 60 minutes divided by 2 (1/2) it will equal 30 minutes.
2/3 - 2/3 is 40 minutes because, if you look at the clock, 1/3 of the clock is 20 minutes (pointing at the 4). since it's 2/3, you have to double 20 minutes, which equals 40 minutes.
30 minutes (1/2) + 40 minutes (2/3) = 70 minutes (1 hr 10 min, 70/60, 7/6)
From the second slide I chose ½ & ¼.
I got 45mins as the answer.
Clocks help me arrive at the answer by dividing 60mins (1h) into half, which is 30mins, and dividing 60mins (1h) into 4 quarters, which is 15mins in each quarter. I added ½ (30mins) and ¼ (15mins) and got ¾ (45mins).
OR
Divide 60mins into 4 quarters, which is 4 groups of 15mins, and 3 groups of 15mins, is equal to 45mins, which is what ½, and ¼ equals.
1/2 + 1/3 = 5/6....
I got my answer by finding the greatest common multiple which is 6 then you put that as the denominator then what ever you do to the bottom you must do to the top so for 1/2 you times 1x3 because 3x2=6.....,then you times 1x2 because 3x2=6 and that is how you find the answer......
The way of doing the clock method is by finding 1/2 of 60 because there is minutes in an hour which is 30.
Then you find out what 1/3 is by dividing 3 into 60 which is 20....
Then you add 30 and 20 up which is 50 so this is how you put it in a fractoin 50/60 or 5/6
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