(a) denominator 20

(b) numerator 9

(c) denominator 30

(d) numerator 27

Answer :

(a) We require denominator 20

Let M be the numerator of the fractions

\(\therefore \frac{M}{20} = \(\frac{3}{5} \)

5 × M = 20 × 3

M = (20 × 3) ÷ 5 = 12

Therefore the required fraction is \(\frac{12}{20} \)

(b) We require numerator 9

Let N be the denominator of the fractions

\(\therefore \frac{9}{N} = \(\frac{3}{5} \)

3 × N = 9 × 5

N = (9 × 5) ÷ 3 = 15

Therefore the required fraction is \(\frac{9}{15} \)

(c) We require denominator 30

Let D be the numerator of the fraction

\(\therefore \frac{D}{30} = \(\frac{3}{5} \)

5 × D = 3 × 30

D = (3 × 30) ÷ 5

= 18

Therefore the required fraction is \(\frac{18}{30} \)

(d) We require numerator 27

Let X be the denominator of the fraction

\(\therefore \frac{27}{X} = \(\frac{3}{5} \)

3 × X = 5 × 27

X = (5 × 27) ÷ 3 = 45

Therefore the required fraction is \(\frac{27}{45} \)

- Q.1 Write the fractions. Are all these fractions equivalent?
- Q.2 Write the fractions and pair up the equivalent fractions from each row.
- Q.3 Replace \(\square \)in each of the following by the correct number: (a) \(\frac{2}{7} = \frac{8}{\square } \) (b) \(\frac{5}{8} = \frac{10}{\square } \) (c) \(\frac{3}{5}= \frac{\square }{20} \) (d) \(\frac{45}{60} = \frac{15}{\square } \) (e) \(\frac{18}{24}= \frac{\square }{4} \)
- Q.5 Find the equivalent fraction of 36 / 48 with (a) numerator 9 (b) denominator 4
- Q.6 Check whether the given fractions are equivalent: (a) \(\frac{5}{9} , \frac{30}{54} \) (b) \(\frac{3}{10} , \frac{12}{50} \) (c) \(\frac{7}{13} , \frac{5}{11} \)
- Q.7 Reduce the following fractions to simplest form: (a) \(\frac{48}{60} \) (b) \(\frac{150}{60} \) (c) \(\frac{84}{98} \) (d) \(\frac{12}{52} \) (e) \(\frac{7}{28} \)
- Q.8 Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?
- Q.9 Match the equivalent fractions and write two more for each. (i) \(\frac{250}{400} \) (a) \(\frac{2}{3} \) (ii) \(\frac{180}{200} \) (b) \(\frac{2}{5} \) (iii) \(\frac{660}{990} \) (c) \(\frac{1}{2} \) (iv) \(\frac{180}{360} \) (d) \(\frac{5}{8} \) (v) \(\frac{220}{550} \) (e) \(\frac{9}{10} \)

- NCERT solutions for class 6 maths chapter 1 Knowing Our Numbers
- NCERT solutions for class 6 maths chapter 2 Whole Numbers
- NCERT solutions for class 6 maths chapter 3 Playing with Numbers
- NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas
- NCERT solutions for class 6 maths chapter 5 Understanding Elementary Shapes
- NCERT solutions for class 6 maths chapter 6 Integers
- NCERT solutions for class 6 maths chapter 7 Fractions
- NCERT solutions for class 6 maths chapter 8 Decimals
- NCERT solutions for class 6 maths chapter 9 Data Handling
- NCERT solutions for class 6 maths chapter 10 Mensuration
- NCERT solutions for class 6 maths chapter 11 Algebra
- NCERT solutions for class 6 maths chapter 12 Ratio and Proportion
- NCERT solutions for class 6 maths chapter 13 Symmetry
- NCERT solutions for class 6 maths chapter 14 Practical Geometry

- NCERT solutions for class 6 science chapter 1 Food: Where Does It Come From?
- NCERT solutions for class 6 science chapter 2 Components of Food
- NCERT solutions for class 6 science chapter 3 Fibre to Fabric
- NCERT solutions for class 6 science chapter 4 Sorting Materials into Groups
- NCERT solutions for class 6 science chapter 5 Separation of Substances
- NCERT solutions for class 6 science chapter 6 Changes Around us
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- NCERT solutions for class 6 science chapter 8 Body Movements
- NCERT solutions for class 6 science chapter 9 The Living Organisms — Characteristics and Habitats
- NCERT solutions for class 6 science chapter 10 Motion and Measurement of Distances
- NCERT solutions for class 6 science chapter 11 Light, Shadows and Reflections
- NCERT solutions for class 6 science chapter 12 Electricity and Circuits
- NCERT solutions for class 6 science chapter 13 Fun with Magnets
- NCERT solutions for class 6 science chapter 14 Water
- NCERT solutions for class 6 science chapter 15 Air Around us