Are 3/8 and 3/4 equivalent fractions
2 answers:
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Answer:
The original fraction is .
Step-by-step explanation:
Solution,
Let the fraction be''.
Where 'x' is the numerator and 'y' is the denominator.
Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.
So, framing the above sentence in equation form, we get;
On using cross multiplication method, we get;
Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.
So, framing the above sentence in equation form, we get;
On using cross multiplication method, we get;
Now Substituting the equation 1 in equation 1 we get;
Now Substituting the value of x in equation 1 we get;
Hence The original fraction is .
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41