Add the following rational numbers:
(i) (-5/7) and (3/7)
(ii) (-15/4) and (7/4)
(iii) (-8/11) and (-4/11)
(iv) (6/13) and (-9/13)
Add the following rationalnumbers:
(i) (3/4) and (-3/5)
(ii) -3 and (3/5)
(iii) (-7/27) and (11/18)
(iv) (31/-4) and (-5/8)
Simplify:
(i) (8/9) + (-11/6)
(ii) (-5/16) + (7/24)
(iii) (1/-12) + (2/-15)
(iv) (-8/19) + (-4/57)
(iv) (-8/19) +(-4/57)
Add and express the sum as mixed fraction:
(i) (-12/5) + (43/10)
(ii) (24/7) + (-11/4)
(iii) (-31/6) + (-27/8)
Add and express the sum as mixedfraction:
Subtract the first rational number from the second in each of the following:
(i) (3/8), (5/8)
(ii) (-7/9), (4/9)
(iii) (-2/11), (-9/11)
(iv) (11/13), (-4/13)
Subtract the first rational number from the second in each of thefollowing:
Evaluate each of the following:
(i) (2/3) – (3/5)
(ii) (-4/7) – (2/-3)
(iii) (4/7) – (-5/-7)
(iv) -2 – (5/9)
Evaluate each of thefollowing:
The sum of the two numbers is (5/9). If one of the numbers is (1/3), find the other.
The sum of two numbers is (-1/3). If one of the numbers is (-12/3), find theother.
The sum of two numbers is (– 4/3). If one of the numbers is -5, find theother.
The sum of two numbers is (– 4/3). If one of the numbers is -5, find the other.
The sum of two rational numbers is – 8. If one of the numbers is (-15/7), findthe other.
The sum of two rational numbers is – 8. If one of the numbers is (-15/7), find the other.
What should be added to (-7/8) so as to get (5/9)?
What number should be added to (-5/11) so as to get(26/33)?
What number should be added to (-5/11) so as to get (26/33)?
What number should be added to (-5/7) to get (-2/3)?
What number should be added to (-5/7) to get(-2/3)?
What number should be subtracted from (-5/3) to get (5/6)?
What number should be subtracted from (-5/3) to get(5/6)?
What number should be subtracted from (3/7) to get (5/4)?
What number should be subtracted from (3/7) to get(5/4)?
What should be added to ((2/3) + (3/5)) to get (-2/15)?
What should be added to ((2/3) + (3/5)) to get(-2/15)?
What should be added to ((1/2) + (1/3) + (1/5)) to get 3?
What should be subtracted from ((3/4) – (2/3)) to get (-1/6)?
(i) (-3/2) + (5/4) – (7/4)
(ii) (5/3) – (7/6) + (-2/3)
(iii) (5/4) – (7/6) – (-2/3)
(iv) (-2/5) – (-3/10) – (-4/7)
Fill in the blanks:
(i) (-4/13) – (-3/26) = …..
(ii) (-9/14) + ….. = -1
(iii) (-7/9) + ….. = 3
(iv) ….. + (15/23) = 4
Multiply:
(i) (7/11) by (5/4)
(ii) (5/7) by (-3/4)
(iii) (-2/9) by (5/11)
(iv) (-3/13) by (-5/-4)
(i) (-5/17) by (51/-60)
(ii) (-6/11) by (-55/36)
(iii) (-8/25) by (-5/16)
(iv) (6/7) by (-49/36)
Simplify each of the following and express the result as a rational number in standard form:
(i) (-16/21) × (14/5)
(ii) (7/6) × (-3/28)
(iii) (-19/36) × 16
(iv) (-13/9) × (27/-26)
Simplify each of the following and express the result as a rational numberin standard form:
(i) (-5 × (2/15)) – (-6 × (2/9))
(ii) ((-9/4) × (5/3)) + ((13/2) × (5/6))
(i) ((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2))
(ii) ((3/11) × (5/6)) – ((9/12) × ((4/3)) + ((5/13) × (6/15))
Divide:
(i) 1 by (1/2)
(ii) 5 by (-5/7)
(iii) (-3/4) by (9/-16)
(iv) (-7/8) by (-21/16)
(v) (7/-4) by (63/64)
(vi) 0 by (-7/5)
(vii) (-3/4) by -6
(viii) (2/3) by (-7/12)
Find six rational numbers between (-4/8) and (3/8)
Find the value and express as a rational number in standard form:
(i) (2/5) ÷ (26/15)
(ii) (10/3) ÷ (-35/12)
(iii) -6 ÷ (-8/17)
(iv) (40/98) ÷ (-20
(iv) (40/98) ÷ (-20)
The product of two rational numbers is 15. If one of the numbers is -10, find the other.
The product of two rational numbers is (- 8/9). If one of the numbers is (- 4/15), find the other.
By what number should we multiply (-1/6) so that the product may be(-23/9)?
By what number should we multiply (-1/6) so that the product may be (-23/9)?
By what number should we multiply (-15/28) so that the product may be (-5/7)?
By what number should we multiply (-15/28) so that the product may be(-5/7)?
By what number should we multiply (-8/13) so that the product may be 24?
By what number should (-3/4) be multiplied in order to produce (-2/3)?
Find (x + y) ÷ (x – y), if
(i) x = (2/3), y = (3/2)
(ii) x = (2/5), y = (1/2)
(iii) x = (5/4), y = (-1/3)
The cost of 7 (2/3) meters of rope is Rs. 12 (3/4). Find its cost per meter.
The cost of 2 (1/3) meters of cloth is Rs.75 (1/4). Find the cost of cloth per meter.
The cost of 2 (1/3) meters of cloth is Rs.75 (1/4). Find the cost of cloth permeter.
By what number should (-33/16) be divided to get(-11/4)?
By what number should (-33/16) be divided to get (-11/4)?
Divide the sum of (-13/5) and (12/7) by the product of (-31/7) and (-1/2)
Divide the sum of (65/12) and (8/3) by their difference.
If 24 trousers of equal size can be prepared in 54 metres of cloth, what lengthof cloth is required for each trouser?
If 24 trousers of equal size can be prepared in 54 metres of cloth, what length of cloth is required for each trouser?
Find 10 rational numbers between (7/13) and (- 4/13)
State true or false:
(i) Between any two distinct integers there is always an integer.
(ii) Between any two distinct rational numbers there is always a rationalnumber.
(iii) Between any two distinct rational numbers there are infinitely manyrational numbers.
(ii) Between any two distinct rational numbers there is always a rational number.
(iii) Between any two distinct rational numbers there are infinitely many rational numbers.
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