1. For the first question, the total number of circles is 12, representing the whole or 1. The fractions given are
,
, and
of 12.
a.
of 12 is calculated as
. So you would draw lines to group 3 circles together to represent
of the total.
b.
of 12 is
. So, 6 circles would be grouped together.
c.
of 12 is
. Therefore, 9 circles would be grouped.
2. For the second question, the total number of circles is 30, and you need to find
of 30.
can be simplified to
because both the numerator and denominator can be divided by 2. So we find
of 30 by calculating
. Therefore, you would group 20 circles together to represent
of the total.
Heres how to draw the lines:
Certainly! Here's a step-by-step guide on how to draw the lines yourself:
For Question 1:
1. Locate the groups of circles: Each circle represents one unit, and there are 12 in total. For fractions of 12, you will group them into sets of 3 since
of 12 is 3.
2. Draw the lines for
of 12: Place a vertical line to the right of the first three circles to group them. This visually indicates
of the total circles.
3. Draw the lines for
of 12: Similarly, place a vertical line to the right of the next three circles, making a total of two groups, which shows
(which is also
of the total circles.
4. Draw the lines for
of 12: Add another vertical line to the right of the third set of three circles. You should now have three groups, representing
of the total.
For Question 2:
1. Calculate the fraction of 30: You need to find
of 30, which reduces to
.
of 30 is 20.
2. Group the circles: Since there are 30 circles, arranged in 6 rows of 5, you need to group 20 of them. You can do this by placing a horizontal line below the first four rows of circles.
3. Draw the lines: Use a ruler for straight lines, and position your lines just below the circles to avoid drawing over them.