Question

Aim of the activity - to multiply fractions experimentally .

Points you can write
• Aim , Material required , Procedure and observation .

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Answer 1

Answer:

What is multiplication?

Put simply, multiplication is adding the same number over and over.

Good news for your students: if they can add, they can multiply!

Instead of writing 1 + 1 + 1 + 1, there’s a much quicker way to write this addition problem: 1 × 4. Here are some examples:

[caption id="attachment_3330" align="aligncenter" width="600"]

Defining three types of fractions

A fraction is generally composed of two parts:

Numerator -- the top number, which refers to how many parts (of a whole) you have.

Denominator -- the bottom number, which refers to the total number of parts making up the whole.

Answer 2

$\large{\boxed{\boxed{\sf{Aim \: Of \: The \: Activity}}}}$

~ to multiply fractions experimentally

$\large{\boxed{\boxed{\sf{Material \: Required }}}}$

a white sheet , pencil , ruler , an eraser , sketch pens (of two different colours)

$\large{\boxed{\boxed{\sf{Procedure }}}}$

let us multiply 2/3 by 3/4

1) draw a square of any convenient size .let the side of the square represent one unit of length 1 unit of length. So, the square represents 1 square unit.

2) Divide the square vertically into three equal parts (equal to denominator of ⅔), so that the dimensions of each part are 1 unit × ⅓ unit.

3) Shade two (equal to the numerator of ⅔)out of these three parts. Then, the dimensions of the shaded region are 1 unit × ⅔ unit .

4) Divide the same square horizontally into four equal parts (equal to the denominator of ¾), so that the dimensions of each part are 1 unit × ¼ unit.

5) Shade three (equal to the numerator of ¾ ) out of four parts drawn. Then, the dimension of the second shaded region are 1 unit × ¾ unit and the dimension of the double-shaded region are ⅔ units × ¾ unit .

$\large{\boxed{\boxed{\sf{Observation \: and \: Calculation }}}}$

No. of same size rectangles form = 12

∴ Area of 12 rectangles = area of the square

→ 1 sq unit

∴ Area of 1 rectangle = ¹/12 sq unit

Number of double shaded rectangles = 6

∴ area represented by these double shaded rectangles = ( 6 × ¹/12 ) area of the square

→ ⁶/12 sq.units

Now .....!

★ Length of the double shaded reason = ⅔ unit

★ Breath of the double shaded region = ¾ units

★Area of double shaded region = ⅔ × ¾ sq units

→ ⁶/12 sq. units

Hence , it is verified that

$\sf \rightarrow\: product \: of \: two \: fractions = \dfrac{product \: of \: their \: n}{product \: of \: their \: d}$

• n = numerator

• d = denominator

[ Note - see the figure in the attachment ]