Which of the following pairs represent equivalent rational number? first is-6/4,18/-12. Second is-4/-20,1/-5 third is-12/-17,60/85
Answers
Answer:
First and third pair represent equivalent rational numbers.
Step-by-step explanation:
The term “equivalent” in math refers to two values, numbers or quantities which are the same.
(1.) -6/4 , 18/-12
LHS = -6/4 = -3/2
RHS = 18/-12 = -3/2
LHS = RHS
=>Equivalent rational numbers
(2.) -4/-20 , 1/-5
LHS = -4/-20 = 1/5
RHS = 1/-5 = -1/5
LHS not equal to RHS
=>Not equivalent rational numbers
(3.) -12/-17 , 60/85
LHS = -12/-17 = 12/17
RHS = 60/85 = 12/17
LHS = RHS
=>Equivalent rational numbers
hope it helped :)
First and third are the pairs having equivalent rational numbers.
Given,
Three pairs of rational numbers.
First -6/4, 18/-12; Second -4/-20, 1/-5; Third -12/-17, 60/85.
To Find,
Whether the given pairs represent equivalent rational numbers or not.
Solution,
For the first pair,
On simplifying -6/4 we get, -3/2
On simplifying 18/-12 we get, -3/2
Therefore, the first pair is having equivalent rational numbers.
For the second pair,
On simplifying -4/-20 we get, 1/5
On simplifying 1/-5 we get, -1/5
Therefore, the second pair is not having equivalent rational numbers.
For the third pair,
On simplifying -12/-17 we get, 12/17
On simplifying 60/85 we get, 12/17
Therefore, the third pair is having equivalent rational numbers.
Hence, the first and third pairs is having equivalent rational numbers.
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