1.

A fraction is equivalent to \(\dfrac{5}{8}\). Its denominator and numerator add up to 91. What is the difference between the denominator and numerator of this fraction?1. 32. 133. 194. 21

Answer» Correct Answer - Option 4 : 21

Given:

Fraction = \(\dfrac{5}{8}\)

Denominator + Numerator = 91

Concept used:

In a fraction, \(\dfrac{p}{q}\)

p = Numerator

q = Denominator

Calculations:

Let the numerator and denominator be 5x and 8x respectively

⇒ 5x + 8x = 91

⇒ 13x = 91

⇒ x = 7

Difference = 8x - 5x 

⇒ 3 × 7

⇒ 21

∴ The difference between numerator and denominator of this fraction is 21



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