Page 39 - ICSE Math 7

EXERCISE 2.3

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1. Given that 65,000 students were present in a competitive exam. If of them were boys, find
the number of girls present in the exam. 25
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2. Rahul bought a mobile and paid of the cost price in cash. He decided to pay the rest of the
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amount in 8 monthly installments of ` 600 each. Find the cost price of the mobile.
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3. A shopkeeper has 120 kg of rice. In the first four weeks of a month, he sells 20 kg, 10 kg, 15 kg
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and 25 kg respectively. Find the quantity of rice remaining after the end of four weeks.
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4. Seema weighs 66 kg. Rahul’s weight is of Seema’s weight. Find Rahul’s weight and the
difference between their weights. 3
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5. Tia and Simran went for lunch and paid and respectively of the total bill. If the bill was
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of ` 418, how much did each of them spend?

6. Mr Sharma had 30 biscuits. He gave 15 biscuits to street dogs and 10 biscuits to cats. What
fractions of the total biscuits did he give to the dogs and cats? What fraction of the total is left
with him?
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7. A builder completed 5 of a building in two months and of the remaining part in the third
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month. If 24 feet of the building is still left, find the total length of the building.

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8. A man gave of his property to his wife and divided the remaining property equally among his
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two children. What part of the full property was given to each child?

AT A GLANCE

m
¾ A fraction is a number which can be written in the form , where both m and n are whole numbers
n
and n ≠ 0. The number m is called the numerator and n the denominator.

¾ A fraction whose numerator is less than its denominator is known as a proper fraction.
¾ A fraction whose numerator is greater than or equal to its denominator is known as an improper
fraction.
¾ A fraction which consists of a whole number and a proper fraction is known as a mixed fraction.

¾ A fraction whose numerator and denominator are integers is known as a simple fraction.
¾ A fraction whose numerator or denominator or both are fractions is known as a complex fraction.

¾ Fractions having the same value are known as equivalent fractions.
¾ Fractions having the same denominator are known as like fractions and fractions with different
denominators are known as unlike fractions.
¾ A reciprocal or multiplicative inverse of a non-zero fraction is obtained by interchanging its
numerator and the denominator.
¾ We follow the rule of BODMAS to simplify expressions containing two or more operations.

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