Question

A certain fraction is greater than 2. The denominator is 8. What must be true about
the numerator? Explain your answer.
?/8 The numerator must be greater than _____ because
What is the answer?

Answer 1

16

because 16/8 = 2

so the numerator should be greater than 16

dividing number greater than 16 by 8 we get more than 2

eg: 17/8 = 2.125

: 18/8 = 2.25

: 19/8 = 2.375

...........

Answer 2

Fraction

As it is given that fraction is greater than 2.

Let the fraction be  $\frac{x}{y}$.

As per question, the denominator is 8.

Hence, the fraction becomes $\frac{x}{8}$.

According to question,

$\frac{x}{8} >2$

On solving this equation we get,

$x>16$

So, for given equation to be true, the numerator must be greater than 16 because as only $16/2 \ is \ 8$. These type of word problems relating to fraction can be solved by framing inequalities.