Q. The product of 2 rational numbers is -3/7. If one of the number is 5/21, find the other one.
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Required Answer :
Other number = - 9/5
Given :
- Product of two rational numbers = - 3/7
- One of the number = 5/21
To find :
- The other number
Solution :
Let,
- The other number = a
According to the question,
⇒ First number × Second number = 5/21
⇒ 5/21 × a = - 3/7
⇒ a = - 3/7 × 21/5
⇒ a = - 3 × 3/5
⇒ a = - 9/5
The value of a = - 9/5
Substituting the value of a :
Other number :
⇒ Other number = a
⇒ Other number = - 9/5
━━━━━━━━━━━━━━━━━━━━
Let's verify :
We can verify the value of other number by multiplying the first and second number, if the product will be equal to 5/21 (as mentioned in the question) then the value of other number is right.
⇒ 5/21 × - 9/5
⇒ - 9/21
⇒ - 3/7
Hence, verified!
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