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1/6 of the class students are above average, 1/4 are average and rest are below average. If there are 48 students in all, how many students are below average in the class?

Given From the given details Number of students in the class are above average = 1/6 Number of students in the class are average =... View Article

7/11 of all the money in Hamid’s bank account is ₹ 77,000. How much money does Hamid have in his bank account?

Given From the given details 7/11 of all the money in Hamid’s bank account = ₹ 77,000 Find out We have to determine the amount... View Article

If 16 shirts of equal size can be made out of 24m of cloth, how much cloth is needed for making one shirt?

Given From the given details The 16 shirts are made out of= 24m of cloth. Find out We have to determine the cloth needed for making one... View Article

A train travels 1445/2 km in 17/2 hours. Find the speed of the train in km/h.

Given From the given details Distance travelled by train = 1445/2 km Time taken by the train to cover distance 1445/2 = 17/2 hours Find... View Article

The cost of 19/4 metres of wire is ₹ 171/2. Find the cost of one metre of the wire.

Given From the given details The cost of 19/4 meters of wire is = ₹ 171/2 Find out We have to determine the cost of one meter of... View Article

Identify the rational number that does not belong with the other three. Explain your reasoning (-5/11), (-1/2), (-4/9), (-7/3)

Solution Given set of rational numbers are: (-5/11), (-1/2), (-4/9), (-7/3) The rational number that does not belong with the other three is... View Article

Simplify: (7/8) + (1/6) – (1/12)

Solution = (7/8) + (1/6) – (1/12) = ((14 + 1)/16) – (1/12) = (15/16) – (1/12) = (45-4)/48 = 41/48 (7/8) + (1/6) –... View Article

Simplify: (3/7) + (-2/21) × (-5/6)

Solution = (3/7) – (2/21) × (-5/6) = (3/7) – (1/21) × (-5/3) = (3/7) – (-5/63) = (3/7) + (5/63) = (27 + 5)/63... View Article

Simplify: (3/7) × (28/15) ÷ (14/5)

Solution = (3/7) × (28/15) ÷ (14/5) = (1/1) × (4/5) ÷ (14/5) = (4/5) ÷ (14/5) = (4/5) × (5/14) =... View Article

Simplify: (32/5) + (23/11) × (22/15)

Solution = (32/5) + (23/1) × (2/15) = (32/5) + (46/15) = (96 + 46)/15 = 142/15 (32/5) + (23/11) × (22/15)=142/15... View Article

Use the distributivity of multiplication of rational numbers over addition to simplify. (a) (3/5) × [(35/24) + (10/1)] (b) (-5/4) × [(8/5) + (16/15)] (c) (2/7) × [(7/16) – (21/4)] (d) 3/4 × [(8/9) – 40]

Solution (a) (3/5) × [(35/24) + (10/1)] Answer According to the distributivity property of multiplication of rational numbers over... View Article

Verify the property x × (y + z) = x × y + x × z of rational numbers by taking. (a) x = -1/2, y = 3/4, z = 1/4 (b) x = -1/2, y = 2/3, z = 3/4 (c) x = -2/3, y = -4/6, z = -7/9 (d) x = -1/5, y = 2/15, z = -3/10

Solution (a) x = -1/2, y = 3/4, z = 1/4 Solution:- According to the given data we have to verify the property x × (y + z) = x × y... View Article

Verify the property x × (y × z) = (x × y) × z of rational numbers by using (a) x = 1, y = -1/2 and z = 1/4 (b) x = 2/3, y = -3/7 and z = 1/2 (c) x = -2/7, y = -5/6 and z = 1/4

Solution (a) x = 1, y = -1/2 and z = 1/4 Solution:- As per the given data, we have to verify the property x × (y × z) = (x ×... View Article

Verify the property x × y = y × z of rational numbers by using (a) x = 7 and y = 1/2 (b) x = 2/3 and y = 9/4 (c) x = -5/7 and y = 14/15 (d) x = -3/8 and y = -4/9

Solution (a) x = 7 and y = 1/2 Answer As per the given data, we have to verify the property = x × y = y × x Here, the values are, x =... View Article

Tell which property allows you to compute (1/5) × [(5/6) × (7/9)] as [(1/5) × (5/6)] × (7/9)

Solution (1/5) × [(5/6) × (7/9)] as [(1/5) × (5/6)] × (7/9) The given set of rational numbers is according to the rule... View Article

Simplify each of the following by using suitable property. Also name the property. (a) [(1/2) × (1/4)] + [(1/2) × 6] (b) [(1/5) × (2/15)] – [(1/5) × (2/5)] (c) (-3/5) × {(3/7) + (-5/6)}

Solution (a) [(½) × (¼)] + [(½) × 6] Solution:- The given set of rational numbers is according to the rule of... View Article

Verify the property x + y = y + x of rational numbers by taking (a) x = 1/2, y = 1/2 (b) x = -2/3, y = -5/6 (c) x = -3/7, y = 20/21 (d) x = -2/5, y = – 9/10

Solution (a) x = 1/2, y = 1/2 Answer As per the given data, we have to verify the property = x + y = y + x Here the values are, x = 1/2, y = 1/2... View Article

Give one example each to show that the rational numbers are closed under addition, subtraction and multiplication. Are rational numbers closed under division? Give two examples in support of your answer.

Solution According to the properties of rational numbers: Rational numbers are closed under addition, subtraction, and multiplication. Closure... View Article

Verify – (-x) = x for (i) x = 3/5 (ii) x = -7/9 (iii) x = 13/-15

Solution (i) x = 3/5 Answer We have to verify – (-x) = x – x = -3/5 – (-x) = – (-3/5) X = 3/5 (ii) x = -7/9... View Article

Using suitable rearrangement and find the sum: (a) (4/7) + (-4/9) + (3/7) + (-13/9) (b) -5 + (7/10) + (3/7) + (-3) + (5/45) + (-4/5)

Solution (a) (4/7) + (-4/9) + (3/7) + (-13/9) Answer On rearrangeing the rational numbers then adding the numbers with same denominator we... View Article