1. If the same number is added to the numerator and subtracted from the denominator of 23/12, the resulting fraction is equivale
nt to the reciprocal of 2/3. What is the number?
1 answer:
Answer:
The number is -2
Step-by-step explanation:
step 1
Find the reciprocal of 2/3
Remember that when multiply a number by its reciprocal, the result is 1
so
The reciprocal of 2/3 is 3/2
step 2
Let
x-----> the number added to the numerator and denominator

Solve for x

step 3
verify

substitute x=-2


Simplify
----> is ok
therefore
The number is -2
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