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Q.

Which property is being used in the following $\frac{2}{3}$ + $\frac{4}{7} =$ $\frac{4}{7}$ + $\frac{2}{3}$ ?

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a

Additive identity

b

Commutative property of addition

c

Commutative property of multiplication

d

Associative property of addition

answer is B.

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Detailed Solution

The given expression is

\frac{2}{3}

+

\frac{4}{7} =

\frac{4}{7}

+

\frac{2}{3} .

We know that,
Commutative property of addition means

A + B = B + A

.
By observing the given options and comparing it with the given expression,
We have

\frac{2}{3}

+

\frac{4}{7} =

\frac{4}{7}

+

\frac{2}{3}

which is of the form

a + b = b + a

.
Hence,

\frac{2}{3}

+

\frac{4}{7} = \frac{4}{7}

+

\frac{2}{3}

belongs to the commutative property of addition.
Therefore, option 2 is correct.

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