a) 5\large\frac{2}{5}

b) 2\large\frac{2}{5}

c) 5\large\frac{5}{2}

d) 7\large\frac{2}{5}

correct answer is: 5\large\frac{2}{5}

#### Explanation

Here, the LCM and HCF of two fractions are 5\large\frac{2}{5} or \large\frac{27}{5} and \large\frac{9}{15}

And, one of them be \large\frac{9}{15}.

We know,

LCM \times HCF = One Number \times Another Number

\rightarrow\large\frac{27}{5}\times\large\frac{9}{15}=\large\frac{9}{15}\times Another Number

\rightarrow Another Number =\large\left(\frac{27}{5}\times\frac{9}{15}\right)\div\frac{9}{15}

\rightarrow Another Number =\large\frac{27}{5}\times\frac{9}{15}\times\frac{15}{9}

\rightarrow Another Number =\large\frac{27}{5} or 5\large\frac{2}{5} **Ans:** Other Number is 5\large\frac{2}{5}.

###### Other ways to phrase this particular math query are:

**The least common multiple (LCM) and highest common factor (HCF) of two fractions are 5 2/5 and 9/15 respectively. If one fraction is 9/15, what is the other fraction?****Two fractions have a least common multiple (LCM) of 5 2/5 and a highest common factor (HCF) of 9/15. If one fraction is 9/15, what is the other fraction?****Given that the least common multiple (LCM) and highest common factor (HCF) of two fractions are 5 2/5 and 9/15 respectively, and one of the fractions is 9/15, what is the other fraction?****If one of the fractions is 9/15, and the least common multiple (LCM) and highest common factor (HCF) of two fractions are 5 2/5 and 9/15 respectively, what is the other fraction?****The least common multiple (LCM) and highest common factor (HCF) of two fractions are 5 2/5 and 9/15 respectively. If one fraction is 9/15, determine the other fraction.**