a) \large\frac{7}{150} .
b) \large\frac{7}{100} .
c) \large\frac{8}{220} .
d) \large\frac{7}{120} .
correct answer is: d) \large\frac{7}{120} .
Explanation
The given quantity is \large\frac{7}{8}\normalsize,\large\frac{14}{15}\normalsize,\ 1\large\frac{1}{20} kg
Let us 1st find the HCF of \large\frac{7}{8}\normalsize\ ,\large\frac{14}{15}\normalsize\ ,\ 1\large\frac{1}{20} or \large\frac{21}{20}
The formula we use to get the HCF of two or more fractions is:
\large\frac{The\ HCF\ of\ Numerator}{The\ LCM\ of\ Denominator}
Here, given numerators are 7,14 and 21.
\therefore The HCF of 7,14 and 21 is =7
And given denominators are 8,15 and 20.
\therefore The LCM of 8,15 and 20 are =120
So, the HCF of the quantity \large\frac{7}{8}\normalsize\ ,\large\frac{14}{15}\normalsize,\ 1\large\frac{1}{20} is =\large\frac{7}{120}
\therefore The greatest quantity is \large\frac{7}{120} .
Ans: \large\frac{7}{120} is the greatest quantity.
This particular math question can also be formulated in the following manner:
- Finding the maximum weight divisor to deliver 7/8 kg, 14/15 kg, and 1 1/20 kg with integer outcomes.
- What is the greatest common factor of weight for 7/8 kg, 14/15 kg, and 1 1/20 kg to ensure integer deliveries?
- Determining the largest divisible weight for 7/8 kg, 14/15 kg, and 1 1/20 kg resulting in whole numbers.
- Finding the maximum weight quantity for evenly distributing 7/8 kg, 14/15 kg, and 1 1/20 kg into integer amounts.