# 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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