Respuesta :
If it is less than one the denominator could be 15
Equal to one would be 12
Greater than one the denominator could be 10
Equal to one would be 12
Greater than one the denominator could be 10
Answer: The answer is (b) greater then 1.
Step-by-step explanation: Given that Julia writes 2 fractions with the same denominator that have numerators 5 and 7. We are to find the denominator if the sum of the two fractions is less than 1.
Let 'd' be the denominator of the two fractions, then we have
[tex]\dfrac{5}{d}+\dfrac{7}{d}<1\\\\\\\Rightarrow \dfrac{5+7}{d}<1\\\\\\\Rightarrow \dfrac{12}{d}<1\\\\\\\Rightarrow 12<d\\\\\Rightarrow d>12.[/tex]
Since the denominator is greater then 12, so it must be greater then 1.
Thus, the correct option is (b) greater than 1.
