Page 218 - Ganit Kaushal

2. Assertion (A): For all natural numbers from 1 to 100, only 10 numbers are multiples of 9.

Reason (R): A fraction represents a part of the whole.
3. Assertion (A): Shella purchases a 1-litre water bottle. She drinks 700 mL of water from it. The fraction
of water left in the water bottle is a proper fraction.
Reason (R): A fraction whose numerator is less than the denominator is called an improper fraction.
4
4. Assertion (A): 3 is a mixed fraction.
7
Reason (R): A natural number added to a proper fraction forms a mixed fraction.

5. Assertion (A): In a month, Shella earns `20,000. Out of this, she saves `8000. We can say that her
expenditure is three-fifths of her total income.
5
Reason(R): is an improper fraction.
3
6. Assertion (A): An orchard has a total area of 1000 sq m. Given that 200 sq m of the orchard has been
used for mango trees, 500 sq m has been used for apple trees, and the remaining area is unused.
3
The fraction of the orchard that is unused is .
10
Reason (R): All natural numbers can be written as improper fractions.
7. Assertion (A): Suzanne earns a monthly salary of `50,000. She donates `5000 to charity and spends
`6000 on her grooming products. Then fraction corresponding to her savings is equal to 50 .
50 39 50 39 39
Reason (R): As × = 1, therefore, and are reciprocal to each other.
39 50 39 50
8. Assertion (A): The reciprocal of an improper fraction is always a proper fraction.
Reason (R): The product of a proper fraction and an improper fraction may or may not be equal to 1.

Summary of the Chapter

• Fractions: A fraction is a number representing part of a whole. In other words, a fraction describes how
many parts of a certain size there are – e.g., one half, three-quarters, etc.
• Proper fractions: Proper fractions are those fractions whose numerators are less than their denominators.
1 2 3 4 5
For example, , , ,, , etc.
11 10 9 8 7
• Improper fractions: An improper fraction is a fraction whose numerator is greater than the denominator.

For example, 11 13 31 , etc.
,
,
6 8 6
• Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction. For
1 1 5
example, 2 , 3 , 1 , etc.
6 6 6
• Converting improper fractions into mixed fractions: To convert an improper fraction into a mixed
fraction, divide the numerator by the denominator. The resulting quotient is the whole number part of
the mixed fraction. The remainder is the numerator of a mixed fraction, and the denominator remains
the same.

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