
Discovering a Fraction of a Complete Quantity
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Learn how to discover a fraction of a complete quantity?
For locating a fraction of a complete quantity, we multiply the
numerator of the fraction by the given quantity after which divide the product by
the denominator of the fraction.
Solved examples for locating a fraction of a complete quantity:
(i) Discover 1/3 of 21.
To search out 1/3 of 21, we multiply the numerator 1 by the given entire quantity 21 after which divide the product 21 by the denominator 3.
1/3 × 21 = 1 × 21/3 = 21/3 = 7
So, 1/3 of 21 = 7.
(ii) Discover 2/5 of 15.
To search out 2/5 of 15, we multiply the numerator 2 by the given
entire quantity 15 after which divide the product 30 by the denominator 5.
2/5 × 15 = 2 × 15/5 = 30/5 = 6
So, 2/5 of 15 = 6.
(iii) Discover 3/8 of 48.
To search out 3/8 of 48, we multiply the numerator 3 by the given
entire quantity 48 after which divide the product 144 by the denominator 8.
3/8 × 48 = 3 × 48/8 = 144/8 = 18
So, 3/8 of 48 = 18.
Discovering Fractions:
To Discover Half –
Ram has 20 biscuits. He desires to offer half of them to his sister. What number of ought to he give her?
Ram has to offer 1 of two equal elements to his sister. So, to place the gathering in two equal elements, divide it by two i.e. 20 ÷ 2 = 10.
Ram will give one half (10 biscuits) to his sister.
To Discover One Third –
One third is 1 a part of 3 equal elements.
To place a group in three equal elements, divide it by three.
One a part of it’s (frac{1}{3}).
To Discover One Fourth –
One fourth is I a part of 4 equal elements.
To place a group in 4 equal elements, divide it by 4.
One a part of its is (frac{1}{4}).
Story Sums on Discovering a Fraction of a Complete Quantity:
1. There are 10 youngsters in a classroom. If half of them had been boys then what number of ladies had been there?
Reply: 5
2. Neetu had 8 toffees. She ate half of them. How is she left with now?
Reply: 4
3. Amit had 6 balloons. One third of the balloons burst. What number of balloons are left?
Reply: 4
4. Sita had 24 biscuits. She gave one fourth to her mom. What number of biscuits had been left?
Reply: 18
5. 10 associates shared 5 chilly drinks. What fraction of chilly drink did every pal get?
Reply: (frac{5}{10}) or (frac{1}{2})
6. Neeta purchased 5 goodies. She eats 3 of them. What fraction of the goodies did she eat?
Reply: (frac{3}{5})
7. There have been 9 flower pots in Aman’s backyard. 4 pots fell down. What fraction of pots are left in his backyard.
Reply: (frac{5}{9})
Associated Idea
● Fraction
of a Complete Numbers
● Properties
of Equal Fractions
● Like and
In contrast to Fractions
● Comparability
of Like Fractions
● Comparability
of Fractions having the identical Numerator
● Conversion
of Fractions into Fractions having Similar Denominator
● Conversion
of a Fraction into its Smallest and Easiest Kind
● Addition
of Fractions having the Similar Denominator
● Subtraction
of Fractions having the Similar Denominator
● Addition
and Subtraction of Fractions on the Fraction Quantity Line
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