Question

Explain how to use the distributive property to find the product (3) (4 1/5)

Answer 1

Given :  (3) (4 1/5)

To find : how to use the distributive property to find the product

Solution:

(3) (4 1/5)

Rewrite 4 1/5  as 4 + 1/5

= (3) (4  + 1/5)

apply distributive property

a(b + c) = ab + ac

a = 3

b = 4

c = 1/5

= 3(4)  + 3(1/5)

= 12  + 3/5

= 12 3/5

(3) (4 1/5)  =  12 3/5

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Answer 2

$Given \: 3 \times \Big(4 \frac{1}{5}\Big)$

$= 3 \times \Big( 4 + \frac{1}{5}\Big)$

/* By Distributive Property*/

$\boxed{\pink{ x(y+z) = x \times y + x \times z }}$

$Here , x = 3 , y = 4 \: and \:z = \frac{1}{5}$

$= 3 \times 4 + 3 \times \frac{1}{5}$

$= 12 + \frac{3}{5}$

$= 12\frac{3}{5}$

Therefore.,

$\red{ 3\times 4\frac{1}{5}}\green { = 12\frac{3}{5}}$

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