Answer :
Answer:
To answer these questions, we need to use the concept of fractions, which are parts of a whole. A fraction has a numerator, which is the number of parts we have, and a denominator, which is the total number of parts in the whole. We can write a fraction as a/b, where a is the numerator and b is the denominator.
a) What fraction of marks did Radha score?
Radha scored 90 marks out of 100. This means that she got 90 parts out of 100 parts in the whole. Therefore, the fraction of marks that Radha scored is 90/100. We can simplify this fraction by dividing both the numerator and the denominator by the same number, such as 10. This gives us:
90/100 = (90 / 10) / (100 / 10)
90/100 = 9/10
Therefore, the fraction of marks that Radha scored is 9/10.
b) What fraction of marks did Asha score?
Asha scored 20 marks out of 25. This means that she got 20 parts out of 25 parts in the whole. Therefore, the fraction of marks that Asha scored is 20/25. We can simplify this fraction by dividing both the numerator and the denominator by the same number, such as 5. This gives us:
20/25 = (20 / 5) / (25 / 5)
20/25 = 4/5
Therefore, the fraction of marks that Asha scored is 4/5.
c) Who scored equal fraction of marks?
To find out who scored equal fraction of marks, we need to compare the fractions of marks that each person scored. We can do this by finding a common denominator for all the fractions, and then comparing their numerators. A common denominator is a number that can be divided by all the denominators without leaving a remainder. One way to find a common denominator is to multiply all the denominators together. For example:
9/10 * 4/5 * 12/15 = (9 * 4 * 12) / (10 * 5 * 15)
9/10 * 4/5 * 12/15 = 432 / 750
This means that 750 is a common denominator for all the fractions. We can use this to rewrite each fraction with the same denominator by multiplying both the numerator and the denominator by the same number. For example:
9/10 = (9 * 75) / (10 * 75)
9/10 = 675 / 750
Similarly, we can rewrite the other fractions as:
4/5 = (4 * 150) / (5 * 150)
4/5 = 600 / 750
12/15 = (12 * 50) / (15 * 50)
12/15 = 600 / 750
Now, we can compare the numerators of each fraction and see who has the same value. We can see that Asha and Lalitha have both scored 600 out of 750, which means that they have scored equal fraction of marks. Therefore, Asha and Lalitha are the ones who scored equal fraction of marks.
