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Check whether the given fractions are equivalent: (a) 5 / 9, 30 / 54 (b) 3 / 10, 12 / 50 (c) 7 / 13, 5 / 11

Solution (a) The given fractions are 5 / 9 and 30 / 54 We have 5× 54 = 270 9... View Article

Find the equivalent fraction of 36 / 48 with (a) numerator 9 (b) denominator 4

Solution (a) Given that numerator = 9 ∴ 9 / D = 36 / 48 D × 36 = 9... View Article

Find the equivalent fraction of 3 / 5 having (a) denominator 20 (b) numerator 9 (c) denominator 30 (d) numerator 27

Solution (a) We need the denominator as 20 Let the numerator of the fractions be =M ∴ M / 20 =... View Article

Replace ☐ in each of the following by the correct number: (a) 2 / 7 = 8 / ☐ (b) 5 / 8 = 10 / ☐ (c) 3 / 5 = ☐ / 20 (d) 45 / 60 = 15 / ☐ (e) 18 / 24 = ☐ / 4

Solution Solutions: (a) Given that 2 / 7 = 8 / ☐ On cross multiplying and simplifying we get 2 × ☐ =... View Article

Write the fractions and pair up the equivalent fractions from each row.

Solution: (a)The fraction in the figure is 1 / 2 (b) The fraction in the figure is 4 / 6 = 2... View Article

Write the fractions. Are all these fractions equivalent?

Solution: (a) (i)The shaded portion in the given figure is is 1 / 2 (ii) The shaded portion in the... View Article

Express the following as improper fractions:

(a) (b) (c) (d) (e) (f) Solution: The steps to convert the mixed fraction into an improper fraction is given below:... View Article

Express the following as mixed fractions: (a) 20 / 3 (b) 11 / 5 (c) 17 / 7 (d) 28 / 5 (e) 19 / 6 (f) 35 / 9

Solution (a)20 / 3 On dividing the given fraction we get ∴ 20 / 3 = \(\begin{array}{l}6\frac{2}{3}\end{array} \) (b) 11... View Article

Draw number lines and locate the points on them: (a) 1 / 2, 1 / 4, 3 / 4, 4 / 4 (b) 1 / 8, 2 / 8, 3 / 8, 7 / 8 (c) 2 / 5, 3 / 5, 8 / 5, 4 / 5

Solution (a) 1 / 2, 1 / 4, 3 / 4, 4 / 4 Now divide the number line from 0... View Article

Kristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Given Number of CDs Kristin bought from the market = 3 Number of CDs received as gifts = 5 Find... View Article

What fraction of these circles have X’s in them?

Solution: Total number of circles in the given figure = 8 Number of circles having X’s in them = 4... View Article

Arya, Abhimanyu, and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich. (a) How can Arya divide his sandwiches so that each person has an equal share? (b) What part of a sandwich will each boy receive?

Solution (a) Arya has divided the sandwich into 3 equal parts. So each person will receive one part. (b) Each boy... View Article

Fill in the blanks with >, < or = sign. (a) (-3) + (-6) ____ (-3) - (-6) (b) (-21) - (-10) _ (-31) + (-11) (c) 45 - (- 11) 57 + (- 4) (d) (-25) - (-42) _ (- 42) - (-25)

Solution (a) On solving the given expression we get, (-3) + (-6) = -9 (-3) – (-6) = -3 + 6... View Article

Find (a) 35 – (20) (b) 72 – (90) (c) (-15) – (-18) (d) (-20) – (13) (e) 23 – (-12) (f) (-32) – (-40)

Solution (a)35 – (20) = 35 – 20 35 – (20)=15 (b) 72 – (90) = 72 – 90 72 –... View Article

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