Â  Â  Â  Â
Â  Â  Â  Â  Â  Â

Commutative Property of Rational Numbers

Rational numbers follow Commutative Property rule, according to which we can say that if we have two Rational Numbers a/b and c/d then addition of that fallows commutative additions. The commutative addition can be represented as a/b +c/d =c/d +a/b.

It will be more be clear with the help of an example:

Now, we check that above rational number follow commutative property or not

Firstly, we will take left hand side,

Let a=2/5 and b=4/5,

According to commutative property,

a+b= b+a,

2/5 + 4/5,

6/5 now taking right hand side,

4/5 +2/5,

6/5,

Commutative Property of Multiplication refers that two numbers or rational numbers can be multiplied in either order. In mathematical manner we can represent this property as : a x b = b x a

Here is an example which further help you to understand this concept:

4/5 X 5/2 = 5/2 x 4/5

2 = 2

L.H.S = R.H.S

From, the above examples we can say that rational numbers follow commutative property as left hand side =right hand side.

Find the addition of the following Rational Numbers: 4/10 + 12/16 + 3/18 + 15/16?

The denominators of the given Numbers are 10, 16, 18,16.

The LCM of 10, 16, 18,16 will be ( 2 x 5 x 2 x 2 x 2 x 3 x 3 ) = 720

Now, the expression will be ( 288 + 540 + 120 + 675 )/720 = 1623/720,

Hence, the final sum will be 1623/720.

The results will always be same regardless of the arrangement of the Fractions.

Find the addition of the following rational numbers: 1/10 + 2/16 + 3/18 + 5/16?

The denominators of the given Numbers are 10, 16, 18,16.

The LCM of 10, 16, 18,16 will be ( 2 x 5 x 2 x 2 x 2 x 3 x 3 ) = 720,

Now, the expression will be ( 72 + 90 + 120 + 225 )/720 = 507/720,

Hence, the final sum will be 507/720.

The results will always be same regardless of the arrangement of the Fractions.

Find the addition of following rational numbers, (-5/9) + (-7/12) + 11/18?

The denominators of the given Numbers are 9, 12, 18.

The LCM of 9, 12, 18 will be ( 3 x 3 x 2 x 2 ) = 36,

Therefore the expression become: ( ( -20 ) + ( -21 ) + 22 )/36 = -19/36,

Hence, the final sum will be -19/36,

The results will always be same regardless of the arrangement of the Fractions.

Find the multiplication of following rational number, (-5/9) x (-7/12) x 11/18?

In the multiplication operation multiply the numerator of all Fractions together and denominator of all fractions together.

i.e. ( -5 x -7 x 11 )/( 9 x 12 x 18 ) = 385/1944.

Hence, the final result of multiplication will be 385/1944.

The results will always be same regardless of the arrangement of the fractions.

Find the multiplication of following rational number, (14/11) x (12/7) x 16/19?

In the multiplication operation multiply the numerator of all Fractions together and denominator of all fractions together.

i.e. ( 14 x 12 x 16 )/( 11 x 7 x 19 ) = 2688/1463,

Hence, the final result of multiplication will be 2688/1463,

The results will always be same regardless of the arrangement of the fractions.

Find the multiplication of following rational number, (3/7) x (12/8) x 11/13?

In the multiplication operation multiply the numerator of all Fractions together and denominator of all fractions together.

i.e. ( 3 x 12 x 11 )/( 7 x 8 x 13 ) = 396/728.

Hence, the final result of multiplication will be 396/728.