draw a model to solve the division problem.
The problem is
1 1/2divided by1/4=
so I know you make 1 1/2 into3/2
3/2*4/1=6
I know how to do that part but have no idea how to draw a model for it, can you explain it?
Thank you
How about thinking like this:
You want to hand out 1 1/2 dollars or 3/2 dollars in coins
If you want to use only quarters (1/4 of a dollar), how many coins (quarters) will you need ?
obvious 6 quarters
so 1 1/2 ÷ 1/4 = 6
To draw a model to solve the division problem 1 1/2 divided by 1/4, you can use a visual representation called a fraction bar or a number line.
1. Start by converting 1 1/2 into an improper fraction. Since there are two halves in a whole, the fraction becomes 3/2.
2. Draw a fraction bar that represents the division problem. On top of the bar, write the dividend (3/2 or 1 1/2) and below the fraction bar, write the divisor (1/4). It should look something like this:
3/2
------
1/4
3. To make it easier to understand, you can also represent the fractions on a number line. Draw a horizontal line and label it with the numbers 0, 1, 2, 3, etc., depending on the range you need. Add markers for the fractions involved in the division problem.
On the number line, mark 3/2 as a point between 1 and 2 (since it is 1 1/2) and 1/4 as a point between 0 and 1, closer to 0.
The number line should look like this:
0-----1/4--------1---------3/2--------2-----3-----
4. To solve the division problem visually, you can think of it as finding how many 1/4 units are contained in the 3/2 unit.
Start by dividing the 3/2 unit (represented on the number line) into four equal parts, since the divisor is 1/4. This will create four equal segments.
Shade or mark two of the four segments on the number line. Now, you have represented the division problem visually using a model. The shaded segments indicate the answer to the division problem: the quotient is 2.
The number line should now look like this, with two segments shaded between 1 and 3/2:
0-----1/4--------1--####--3/2--------2-----3-----
Therefore, the solution to the division problem 1 1/2 divided by 1/4 is 2.