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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 / 3 (c) The fraction in the... 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 given figure is is 2 / 4 = (2 / 2) / (4 /... 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: Step 1: Multiply... 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 = (b) 11 / 5 On dividing the given fraction we get ∴ 11 / 5 =... 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 to 1 into four equal parts C = 2 / 4 = 1 / 2 B = 1 / 4 D = 3 / 4... 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 out We have to determine a fraction of the... 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 ∴ Required Fraction =Number... 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 receives 1 / 3 part... View Article

What fraction of an hour is 40 minutes?

Solution We know that there are 60 minutes in 1 hour We are given 40 minutes to find the fraction of 1 hour Hence, required Fraction... View Article

Identify the error, if any.

Solution: (i) As per the given figure the shaded portion is not half Hence, this is not 1 / 2 (ii) As per the given figure, the parts are... View Article

Colour the part according to the given fraction.

Solution: On colouring, the part as per the given fraction is shown below... View Article

Write the fraction representing the shaded portion.

Solution: (i)The number of parts in the given figure are = 4 The shaded portion in the given figure = 2 ∴ The fraction representing shaded... View Article

Find (a) (-7) – 8 – (-25) (b) (-13) + 32 – 8 – 1 (c) (-7) + (-8) + (-90) (d) 50 – (-40) – (-2)

Solution (a)(-7) – 8 – (-25) = -7 -8 + 25 = -15 + 25 = 10 (-7) – 8 – (-25)=10 (b) (-13) + 32 – 8 – 1 =... View Article

Fill in the blanks. (a) (-8) + ___ = 0 (b) 13 + _ = 0 (c) 12 + (-12) = (d) (-4) + = -12 (e) __ – 15 = – 10

Solution (a) (-8) + 8 = 0 (b) 13 + (-13) = 0 (c) 12 + (-12) = 0 (d) (-4) + (-8) = -12 (e) 5 – 15 = -10... 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 = 3 -9 < 3 Hence (-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 – (90)= -18 (c) (-15)... View Article

Find the sum: (a) (-7) + (-9) + 4 + 16 (b) (37) + (-2) + (-65) + (-8)

Solution: (a)(-7) + (-9) + 4 + 16 = (-7) + (-9) + 4 + (+7) + (+9) = (-7) + (+7) + (-9) + (+9) + 4 = 0 + 0 + 4 [(-a) + (+a) = 0] = 4 (-7) + (-9) +... View Article

Find the sum of: (a) 137 and – 354 (b) – 52 and 52 (c) – 312, 39 and 192 (d) – 50, – 200 and 300

Solution (a) 137 and -354 On adding the given numbers we get, (137) + (-354) = 137 + (-354) = -217 (137) + (-354)=-217 (b) -52 and 52 On... View Article

Add without using number line: (a) 11 + (-7) (b) (-13) + (+18) (c) (-10) + (+19) (d) (-250) + (+150) (e) (-380) + (-270) (f) (-217) + (-100)

Solution (a) 11 + (-7) = 4 (b) (-13) + (+18) = 5 (c) (-10) + (+19) = 9 (d) (-250) + (+150) = -100 (e) (-380) + (-270) = -650 (f) (-217) +... View Article

Use number line and add the following integers: (a) 9 + (-6) (b) 5 + (-11) (c) (-1) + (-7) (d) (-5) + 10 (e) (-1) + (-2) + (-3) (f) (-2) + 8 + (-4)

Solution (a) Hence,9 + (–6)= 3 (b) Hence, 5 + (–11)=-6 (c) Hence,(–1) + (–7)= -8 (d) Hence,(–5) +... View Article