Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6th full and Samuel’s shelf is 2/5th full. Whose bookshelf is more full? By what fraction?

Solution: 

We will use the concepts of fractions to solve this.

The portion of Asha’s bookshelf filled is 5 / 6

The portion of Samuel’s bookshelf filled = 2 / 5

Let us compare both the fractions,

LCM of 5 and 6 is 30

Now we have to make both the fractions into equivalent fractions to compare.

5 × 5 / 6 × 5 = 25 / 30

2 × 6 /5 × 6 = 12 / 30

So we have 5 / 6 = 25 / 30 and 2 /5 = 12 / 30

As we can see denominator is same and comparing numerators,

25 > 12

So, 5 / 6 is greater than 2 / 5

As we can see Asha’s shelf is more filled than Samuel’s shelf.

Difference between both the filled portions is 25 / 30 - 12 / 30 = 13 / 30

Hence, Asha’s shelf is 13 / 30th more filled than Samuel’s shelf.

You can also use the Fraction Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.6 Question 8

Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6th full and Samuel’s shelf is 2/5th full. Whose bookshelf is more full? By what fraction?

Summary:

Asha's shelf is more filled than Samuel's by a fraction of 13 / 30.

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