Premium Online Home Tutors

3 Tutor System

Starting just at 265/hour

(a) Is \(\frac{5}{9} \) equal to \(\frac{4}{5} \)

(b) Is \(\frac{9}{16} \) equal to \(\frac{5}{9} \)

(c) Is \(\frac{4}{5} \) equal to \(\frac{16}{20} \)

(d) Is \(\frac{1}{15} \) equal to \(\frac{4}{30} \)

Answer :

(a) Is \(\frac{5}{9} \) equal to \(\frac{4}{5} \)

by cross multiplication

5 × 5 \(\square \) 9 × 4

25 \(\neq \) 36

\(\frac{5}{9} \) \(\neq \) \(\frac{4}{5} \)

(b) Is \(\frac{9}{16} \) equal to \(\frac{5}{9} \)

by cross multiplication

9 × 9 \(\square \) 16 × 5

81 \(\neq \) 80

\(\frac{9}{16} \) \(\neq \) \(\frac{5}{9} \)

(c) Is \(\frac{4}{5} \) equal to \(\frac{16}{20} \)

by cross multiplication

20 × 4 \(\square \) 16 × 5

80 = 80

\(\frac{4}{5} \) \(\neq \) \(\frac{16}{20} \)

(d) Is \(\frac{1}{15} \) equal to \(\frac{4}{30} \)

by cross multiplication

30 × 1 \(\square \) 4 × 15

30 \(\neq \) 60

\(\frac{1}{15} \) \(\neq \) \(\frac{4}{30} \)

- Q.1 Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘’ between the fractions: (c) Show\(\frac{2}{6} , \frac{4}{6} , \frac{8}{6} and \frac{6}{6} \) on the number line. Put appropriate signs between the fractions given. \(\frac{5}{6} \square \frac{2}{6} , \frac{3}{6} \square 0, \frac{1}{6} \square \frac{6}{6} , \frac{8}{6} \square \frac{5}{6}
- Q.2 Compare the fractions and put an appropriate sign. (a)\( \frac{3}{6} \square \frac{5}{6} \) (b) \( \frac{1}{7} \square \frac{1}{4} \) (c) \( \frac{4}{5} \square \frac{5}{5} \) (d)\( \frac{3}{5} \square \frac{3}{7} \)
- Q.3 Make five more such pairs and put appropriate signs.
- Q.4 Look at the figures and write ’’ ’=’ between the given pairs of fractions. (a) \(\frac{1}{6} \square \frac{1}{3} \) (b) \(\frac{3}{4} \square \frac{2}{6} \) (c) \(\frac{2}{3} \square \frac{2}{4} \) (d) \(\frac{6}{6} \square \frac{3}{3} \) (e) \(\frac{5}{6} \square \frac{5}{5} \)
- Q.5 How quickly can you do this? Fill appropriate sign. ( ‘’) (a) \(\frac{1}{2} \square \frac{1}{5} \) (b) \(\frac{2}{4} \square \frac{3}{6} \) (c) \(\frac{3}{5} \square \frac{2}{3} \) (d) \(\frac{3}{4} \square \frac{2}{8} \) (e) \(\frac{3}{5} \square \frac{5}{5} \) (f) \(\frac{7}{9} \square \frac{3}{9} \) (g) \(\frac{1}{4} \square \frac{2}{8} \) (h) \(\frac{6}{10} \square \frac{4}{5} \) (i) \(\frac{3}{4} \square \frac{7}{8} \) (j) \(\frac{6}{10} \square \frac{3}{5} \) (k) \(\frac{5}{7} \square \frac{15}{21} \)
- Q.6 The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form. (a) \(\frac{2}{12} \) (b) \(\frac{3}{15} \) (c) \(\frac{8}{50} \) (d) \(\frac{16}{100} \) (e) \(\frac{10}{60} \) (f) \(\frac{15}{75} \) (g) \(\frac{12}{60} \) (h) \(\frac{16}{96} \) (i) \(\frac{12}{75} \) (j) \(\frac{12}{72} \) (k) \(\frac{3}{18} \) (l) \(\frac{4}{25} \)
- Q.8 Ila read 25 pages of a book containing 100 pages. Lalita read \(\frac{2}{5} \) of the same book. Who read less?
- Q.9 Rafiq exercised for \(\frac{3}{6} \)of an hour, while Rohit exercised for \(\frac{3}{4} \) of an hour. Who exercised for a longer time?
- Q.10 In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

- 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 Respiratory system, simple machine & elements compounds
- 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
- NCERT solutions for class 6 science chapter 7 Getting to Know Plants
- 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