Step-by-step explanation:
We have,
[tex]\dfrac{37}{74}[/tex]
To find, the reciprocals of the fraction [tex]\dfrac{37}{74}[/tex] = ?
∴ [tex]\dfrac{37}{74}[/tex]
Dividing numerator and denominator by 37, we get
= [tex]\dfrac{1}{2}[/tex]
= [tex]\dfrac{37}{74}[/tex] or, [tex]\dfrac{1}{2}[/tex]
We know that,
The reciprocals of the fraction [tex]\dfrac{x}{y} =\dfrac{y}{x}[/tex]
The reciprocals of the fraction [tex]\dfrac{37}{74}[/tex] = [tex]\dfrac{74}{37}[/tex] or [tex]\dfrac{2}{1}[/tex]
= [tex]\dfrac{74}{37}[/tex] or 2
Thus, the reciprocals of the fraction [tex]\dfrac{37}{74}[/tex] = [tex]\dfrac{74}{37}[/tex] or 2.
