Modepng Division of a Whole Number by a Fraction

Here, in this lesson, we learn how to use area model to spanide a whole number by a fraction. There is a whole number and a fraction that spanides that whole number. We consider a whole number as that many squares as the number indicates.We spanide each of the squares into that many parts as the denominator of the fraction indicates. We find the result of this spanision by counting the total number of parts of the squares.

Example:

Divide 3 ÷ $frac{1}{2}$ using an area model.

Solution

Step 1:

The whole number 3 is taken as three squares. As the fraction is one-half, each of the squares is spanided into two halves.

Step 2:

Now the halves in all three squares are counted and found to be 6. This is the answer we get by spaniding 3 by $frac{1}{2}$.

So, 3 ÷ $frac{1}{2}$ = 6

Divide 5 ÷ $frac{1}{3}$ using an area model.

Solution

Step 1:

Dividing 5 into one-thirds can be modeled as follows:

Consider 5 squares as 5 wholes. Each of the squares is further spanided into three parts or one-thirds.

Step 2:

Then counting the total number of such parts of the squares or wholes gives the answer which is 15.

So, 5 ÷ $frac{1}{3}$ = 15

Divide 6 ÷ $frac{1}{2}$ using an area model.

Solution

Step 1:

Dividing 6 into one-halves can be modeled as follows:

Consider 6 squares as 6 wholes. Each of the squares is further spanided into two parts or one-halves.

Step 2:

Then counting the total number of such parts of the squares or wholes gives the answer which is 12.

So, 6 ÷ $frac{1}{2}$ = 12