Multiply fractions with whole numbers Interactive Worksheet - Edform - Free Printable

Explanation:
We are given five visual problems (a–e), each showing a fraction multiplied by a whole number. We need to write the multiplication problem and solve it, giving the answer as a mixed number in simplest form.

Let’s go one by one.

a.
There are 3 rows. Each row has 8 small rectangles, and 4 of them are shaded (brown). So each row represents $ \frac{4}{8} = \frac{1}{2} $.
Since there are 3 rows, the total is:
$ 3 \times \frac{4}{8} = 3 \times \frac{1}{2} = \frac{3}{2} = 1\frac{1}{2} $

Wait — let’s double-check the diagram. Looking carefully: each row has 8 boxes, and 4 are shaded. Yes, that’s $ \frac{4}{8} = \frac{1}{2} $ per row. 3 rows → $ 3 \times \frac{1}{2} = \frac{3}{2} = 1\frac{1}{2} $. ✔

But hold on — maybe the problem expects us to interpret it as *one* fraction being multiplied by how many groups? Let’s look at the example again:

Example: 4 columns, each column has 3 boxes, top 1 shaded → each column = $ \frac{1}{3} $, and there are 4 columns → $ \frac{1}{3} \times 4 $. So the structure is: each group shows a fraction, and the number of groups is the multiplier.

So for a, we have 3 rows (groups), each row is a bar divided into 8 parts, with 4 shaded → each group = $ \frac{4}{8} = \frac{1}{2} $. So problem: $ \frac{1}{2} \times 3 $ or $ 3 \times \frac{1}{2} $. Same result: $ \frac{3}{2} = 1\frac{1}{2} $.

b.
There are 3 rows (groups). Each row has 10 small squares, 9 shaded (purple). So each group = $ \frac{9}{10} $.
Total: $ 3 \times \frac{9}{10} = \frac{27}{10} = 2\frac{7}{10} $.
(Since 10 × 2 = 20, remainder 7.)

c.
There are 6 squares (arranged 2 rows × 3 columns). Each square is a 2×2 grid (4 small squares), and 1 is shaded green. So each square = $ \frac{1}{4} $.
6 groups → $ 6 \times \frac{1}{4} = \frac{6}{4} = \frac{3}{2} = 1\frac{1}{2} $.
Simplify: $ \frac{6}{4} = \frac{3}{2} $, yes.

d.
There are 3 circles. Each circle is divided into 3 equal parts (like a pie), and 2 parts are shaded orange. So each circle = $ \frac{2}{3} $.
3 groups → $ 3 \times \frac{2}{3} = \frac{6}{3} = 2 $.
That’s a whole number, so mixed number is just 2 (or $ 2\frac{0}{1} $, but simplest form is 2).

e.
There are 5 large triangles. Each large triangle is divided into 2 smaller right triangles (by drawing a line from top to base midpoint), and 1 of the 2 is shaded red. So each large triangle = $ \frac{1}{2} $.
5 groups → $ 5 \times \frac{1}{2} = \frac{5}{2} = 2\frac{1}{2} $.

Let me verify e again: The diagram shows 5 big triangles, each split into 2 halves, one red, one white. Yes — so $ \frac{1}{2} $ per triangle, ×5 = $ \frac{5}{2} = 2\frac{1}{2} $.

Now list all answers clearly:

a. $ \frac{1}{2} \times 3 = 1\frac{1}{2} $
b. $ \frac{9}{10} \times 3 = 2\frac{7}{10} $
c. $ \frac{1}{4} \times 6 = 1\frac{1}{2} $
d. $ \frac{2}{3} \times 3 = 2 $
e. $ \frac{1}{2} \times 5 = 2\frac{1}{2} $

All are in simplest mixed-number form.

Final Answer:
a. $1\frac{1}{2}$
b. $2\frac{7}{10}$
c. $1\frac{1}{2}$
d. $2$
e. $2\frac{1}{2}$