Question

Match each equation on the left with its equivalent on the right according to either the commutative property of addition or the commutative property of multiplication. Some answer options on the right will

Answer 1

For the first equation, we recall the commutative property of addition.

`\begin{gathered} 3\text{ }(1)/(4)+1\text{ }(4)/(9)=\text{ }4\text{ }(25)/(36)\text{ and 1 }(4)/(9)+3(1)/(4)=4\text{ }(25)/(36) \\ \\ \end{gathered}`

are equivalent.

For the second equation, we recall the commutative property of addition.

`2\text{ }(1)/(3)+1\text{ }(3)/(4)=4(1)/(12)and\text{1}(3)/(4)+2(1)/(3)=4(1)/(12)`

are equivalent.

For the third equation, we recall the commutative property of multiplication.

`3(1)/(4)\cdot1(4)/(9)=4\text{ }(25)/(36)\text{ and 1 }(4)/(9)\cdot3(1)/(4)=4(25)/(36)`

are equivalent.

Finally, for the last equation, we recall the commutative property of multiplication.

`2(1)/(3)\cdot1(3)/(4)=4(1)/(12)\text{ and }1(3)/(4)\cdot2(1)/(3)=4(1)/(12)`

are equivalent.