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.