Question

Simplify using appriorate property:
3\20 x 2\3 + 3\20 x 1\3

Please explain with explaination

Answer 1

Answer:

3/20

Step-by-step explanation:

3/20×2/3+3/20×1/3

= 2/20+1/20 (Applying BODMAS)

= 3/20

Answer 2

Simple explanation:

3/20 x 2/3 + 3/20 x 1/3

According to distributive property,

Let there be three numbers 1, 2 and 3.

1 x 2 + 1 x 3

= 2 + 3

= 5

This can also be written as

1 x 2 + 1 x 3

= 1 x (2 + 3)

= 1 x 5

= 5

Similarly in this question,

3/20 x 2/3 + 3/20 x 1/3

= 3/20 x (2/3 + 1/3)

=3/20 x (2+1/3) = 3/20 x (3/3)

= 3/20 x 1

= 3/20

Answer: 3/20

Complex explanation:

The Distributive Property means that for any three numbers a, b, and c,

a x b + a x c

= a x (b + c)

This can be expanded endlessly.

a x b + a x c + a x d + a x m + a x n +....

= a x (b + c + d + m + n+....)

Therefore,

3/20 x 2/3 + 3/20 x 1/3

= 3/20 x (2/3 + 1/3)

= 3/20 x 1

= 3/20

Answer: 3/20

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