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51/2 metres long rope is cut into 12 equal pieces. What is the length of each piece?

Given The length of rope = m = 11/2 m The total number of pieces = 12 Find out We have to determine the length of each piece of... View Article

From a rope 40 metres long, pieces of equal size are cut. If the length of one piece is 10/3 metre, find the number of such pieces.

Given The length of rope = 40 m The length of one piece of rope = 10/3 Find out We have to determine the number of pieces cut from the... View Article

Find two rational numbers whose absolute value is 1/5.

Solution Two rational numbers whose absolute value is 1/5 are 1/5 and -1/5... View Article

Find five rational numbers between 0 and 1.

Solution We have to find five rational numbers between 0 and 1 The given numbers can be expressed as 0/1 and 1/1 Multiplying both the... View Article

Can you find a rational number whose multiplicative inverse is -1?

Solution No, we cannot find a rational number whose multiplicative inverse is –1. The multiplicative inverse of a number x is given by... View Article

The product of two rational numbers is -7. If one of the number is -5, find the other?

Given The product of two rational numbers = -7 One number = -5 Find out We have to determine the other number Solution Let us assume the... View Article

By what number should we multiply -8/13 so that the product may be 24?

Given The product of two rational numbers = 24 One number = -8/13 Find out We have to determine the other number Solution Let us assume the other... View Article

By what numbers should we multiply -15/20 so that the product may be -5/7?

Given Product of two rational number = -5/7 One number = -15/20 Find out We have to determine the other number Solution Let us assume the other... View Article

The product of two rational numbers is -14/27. If one of the numbers be 7/9, find the other.

Given product of two rational numbers = -14/27 One number = 7/9 Find out We have to determine the other number Solution Let us assume the... View Article

Arrange the numbers 1/4, 13/16, 5/8 in the descending order.

Solution Given numbers are 1/4, 13/16, 5/8 On taking LCM of the given numbers we obtain The LCM of the denominators 4, 16 and 8 is 16... View Article

Find the multiplicative inverse of i) -1(1/8) ii) 3(1/3)

Solution (i) Answer The multiplicative inverse of a number x is given by x-1, such that when it is multiplied by its original number, it... View Article

Name the property used in the following: (3/8) × 1 = 1 × (3/8) = (3/8)

Solution (3/8) × 1 = 1 × (3/8) = (3/8) The given expression can be associated with the Multiplicative identity of a rational... View Article

Name the property used in the following: (-2/7) + 0 = 0 + (-2/7) = (-2/7)

Solution (-2/7) + 0 = 0 + (-2/7) = (-2/7) The given expression can be associated with the Additive identity of rational numbers. Additive... View Article

Name the property used in the following: (1/3) + [(4/9) + (-4/3)] = [(1/3) + (4/9)] + [-4/3]

Solution (1/3) + [(4/9) + (-4/3)] = [(1/3) + (4/9)] + [-4/3] The given expression can be associated with the associative property.... View Article

Name the property used in the following: (-2/3) × [(3/4) + (-1/2)] = [(-2/3) × (3/4)] + [(-2/3) × (1/2)]

Solution (-2/3) × [(3/4) + (-½)] = [(-2/3) × (3/4)] + [(-2/3) × (½)] The given expression can be... View Article

Name the property used in the following: (-7/4) × (-3/4) = (-3/5) × (-7/11)

Solution (-7/4) × (-3/4) = (-3/5) × (-7/11) The given expression can be associated with the commutative property.... View Article

Tell which property allows you to compare (2/3) × [3/4 × (5/7)] and [(2/3) × (5/7)] × 3/4

Solution (2/3) × [¾ × (5/7)] and [(2/3) × (5/7)] × 3/4 The given expression can be associated with the... View Article

A mother and her two daughters got a room constructed for ₹ 62,000. The elder daughter contributes 3/8 of her mother’s contribution while the younger daughter contributes 1/2 of her mother’s share. How much do the three contribute individually?

Given A mother and her two daughters got a room constructed for = ₹ 62,000 The elder daughter's contribute = of her mother’s share The... View Article

Huma, Hubna and Seema received a total of ₹ 2,016 as monthly allowance from their mother such that Seema gets 1/2 of what Huma gets and Hubna gets 1(2/3) times Seema’s share. How much money do the three sisters get individually?

Given Total monthly allowance received by Huma, Hubna and Seem = ₹ 2,016 from their mother Seema gets allowance = of Huma’s share... View Article

2/5 of total number of students of a school come by car while 1/4 of students come by bus to school. All the other students walk to school of which 1/3 walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in that school?

Given The number of students who come by car = (2/5) × Total number of students The number of students who come by bus = (¼)... View Article