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Unit-3 The World of Fraction

In this unit we review the fractional numbers.

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20 litres of milk was divided equally among some children. If each child got 1/4 litre of milk, find the number of children.

A Woman is the owner of 4/5 of a property. She divides it equally among her 3 children. Calculate the share given to each child.

Divide : i)3/8 by 1/4 ii)7/16 by 7 iii)2 3/4 by 4 3/8

How many strips of 2 1/2 cm long can be cut from a 20 cm long ribbon? How is this related to the division of fractions?

Find the following products i)8 3/8×1 1/4×2 ii)1 1/6×7/12 iii)5/6×2 3/7 iv)3 5/6×1 3/4×3 1/8×6

i)Find the cost of a table cloth of length 5 1/2 metres and breadth 3 1/4 metres at the rate of 30 rupees a square meter. ii)What will be the volume of a rectangular tank length 4 metres, breadth 3 1/2 metres and height 3 1/3 metres?

Find the following by converting both the fractions into like fractions : i)5/7 of 2/3 ii)2/5 of 3/4 iii)3/8 of 2/3 iv)4/7 of 3/5

If 4 1/5 m of wire is cut from a piece of 10 m long wire, how much wire is left?

Subtract the following : i)5 11/32-2 7/16 ii)13 5/2-7 3/4 iii)6 5/9-4 2/9

Add the following fractions : i)2 3/5+1 2/3 ii)23 5/8+10 5/8 iii)7 1/2+2/3

In your school mathematics, you must have done the following rule for adding unlike fractions: 1/4+1/6 = (1×6+1×4)/24 = 10/24 Is this rule the same as the rule we have discussed here? Give reasons for your answer.

By extending the rule for adding unlike fractions for more than two fractions, find the following : 1/5+2/3+5/6

Find the difference between the following fractions : i)9/5 and 11/5 ii)8/27 and 5/6

Calculate the following : i)7/4+3/10 ii)3/128+5/96 4/7+13/8

A jar can contain 2/3 litres of oil and another jar can contain 7/10 litres of oil. Which jar is bigger?

Arrange the numbers in the ascending (increasing) order : i)11/6 ,5/6 ,8/6 ,13/6 ,6/6 ,3/6 ii)8/12 ,8/3 ,8/4 ,8/5 iii)Find a fraction with denominator 12 and lying between 5/8 and 3/4

Express the following mixed fractions as improper fractions : i)4 3/5 7 5/8

Put the appropriate symbol < or > in the following : a)1/4 ? 1/6 b)3/5 ? 3/7 c)2/6 ? 2/8 20/21 ? 19/21 ? . . . ? 1/21

In a long jump context, Reena jumped 8/5 metres, Geetha jumped 7/3 metres and Deepti jumped 10/6 metres. Who won the contest?

Change the following improper fractions to proper fraction : i)11/5 ii)19/6 54/13

Are the two fractions equivalent? Give reasons for your answer. a)3/15 and 2/10 b)12/5 and 15/6 c)3/2 and 6/4 6/8 and 21/28

Write two equivalent fractions for each of the following : i)2/7 ii)3/5 iii)1/8

Find out the unit fractions from the following: 9/1 , 4/4 , 1/81 , 1/7 , 6 1/5 , 1/20.

Which of the following fractions are mixed fractions? 3/3 , 2 1/4 , 5/9 , 3 1/2 , 1/7 , 1 1/2

Classify the following fractions as proper or improper fraction 9/8 , 3/11 , 2/3 , 13/7 , 10/1 , 6/7 , 8/5.

List three situations in your daily life where you have to deal with fraction.

Calculate the chance that a person selected at random is from the data given in Example 11, is a non-smoker.

For the investment problem given in Example 10, find the principal amount after one year.

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Previous Question Next Question

Are the two fractions equivalent? Give reasons for your answer.
a)3/15 and 2/10
b)12/5 and 15/6
c)3/2 and 6/4
6/8 and 21/28

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Learning Pundits Content Team
Written on Apr 22, 2019 11:52:18 AM