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Page 1 Exercise 5.3 Page No: 5.10 1. 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) Solution: (i) Given (7/11) by (5/4) (7/11) × (5/4) = (35/44) (ii) Given (5/7) by (-3/4) (5/7) × (-3/4) = (-15/28) (iii) Given (-2/9) by (5/11) (-2/9) × (5/11) = (-10/99) (iv) Given (-3/13) by (-5/-4) (-3/13) × (-5/-4) = (-15/68) 2. Multiply: (i) (-5/17) by (51/-60) (ii) (-6/11) by (-55/36) (iii) (-8/25) by (-5/16) (iv) (6/7) by (-49/36) Solution: (i) Given (-5/17) by (51/-60) (-5/17) × (51/-60) = (-225/- 1020) = (225/1020) = (1/4) (ii) Given (-6/11) by (-55/36) (-6/11) × (-55/36) = (330/ 396) = (5/6) Page 2 Exercise 5.3 Page No: 5.10 1. 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) Solution: (i) Given (7/11) by (5/4) (7/11) × (5/4) = (35/44) (ii) Given (5/7) by (-3/4) (5/7) × (-3/4) = (-15/28) (iii) Given (-2/9) by (5/11) (-2/9) × (5/11) = (-10/99) (iv) Given (-3/13) by (-5/-4) (-3/13) × (-5/-4) = (-15/68) 2. Multiply: (i) (-5/17) by (51/-60) (ii) (-6/11) by (-55/36) (iii) (-8/25) by (-5/16) (iv) (6/7) by (-49/36) Solution: (i) Given (-5/17) by (51/-60) (-5/17) × (51/-60) = (-225/- 1020) = (225/1020) = (1/4) (ii) Given (-6/11) by (-55/36) (-6/11) × (-55/36) = (330/ 396) = (5/6) (iii) Given (-8/25) by (-5/16) (-8/25) × (-5/16) = (40/400) = (1/10) (iv) Given (6/7) by (-49/36) (6/7) × (-49/36) = (-294/252) = (-7/6) 3. 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) Solution: (i) Given (-16/21) × (14/5) (-16/21) × (14/5) = (-224/105) = (-32/15) (ii) Given (7/6) × (-3/28) (7/6) × (-3/28) = (-21/168) = (-1/8) (iii) Given (-19/36) × 16 (-19/36) × 16 = (-304/36) = (-76/9) (iv) Given (-13/9) × (27/-26) (-13/9) × (27/-26) = (-351/234) = (3/2) 4. Simplify: (i) (-5 × (2/15)) – (-6 × (2/9)) (ii) ((-9/4) × (5/3)) + ((13/2) × (5/6)) Solution: Page 3 Exercise 5.3 Page No: 5.10 1. 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) Solution: (i) Given (7/11) by (5/4) (7/11) × (5/4) = (35/44) (ii) Given (5/7) by (-3/4) (5/7) × (-3/4) = (-15/28) (iii) Given (-2/9) by (5/11) (-2/9) × (5/11) = (-10/99) (iv) Given (-3/13) by (-5/-4) (-3/13) × (-5/-4) = (-15/68) 2. Multiply: (i) (-5/17) by (51/-60) (ii) (-6/11) by (-55/36) (iii) (-8/25) by (-5/16) (iv) (6/7) by (-49/36) Solution: (i) Given (-5/17) by (51/-60) (-5/17) × (51/-60) = (-225/- 1020) = (225/1020) = (1/4) (ii) Given (-6/11) by (-55/36) (-6/11) × (-55/36) = (330/ 396) = (5/6) (iii) Given (-8/25) by (-5/16) (-8/25) × (-5/16) = (40/400) = (1/10) (iv) Given (6/7) by (-49/36) (6/7) × (-49/36) = (-294/252) = (-7/6) 3. 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) Solution: (i) Given (-16/21) × (14/5) (-16/21) × (14/5) = (-224/105) = (-32/15) (ii) Given (7/6) × (-3/28) (7/6) × (-3/28) = (-21/168) = (-1/8) (iii) Given (-19/36) × 16 (-19/36) × 16 = (-304/36) = (-76/9) (iv) Given (-13/9) × (27/-26) (-13/9) × (27/-26) = (-351/234) = (3/2) 4. Simplify: (i) (-5 × (2/15)) – (-6 × (2/9)) (ii) ((-9/4) × (5/3)) + ((13/2) × (5/6)) Solution: (i) Given (-5 × (2/15)) – (-6 × (2/9)) (-5 × (2/15)) – (-6 × (2/9)) = (-10/15) – (-12/9) = (-2/3) + (12/9) = (-6/9) + (12/9) = (6/9) = (2/3) (ii) Given ((-9/4) × (5/3)) + ((13/2) × (5/6)) ((-9/4) × (5/3)) + ((13/2) × (5/6)) = ((-3/4) × 5) + ((13/2) × (5/6)) = (-15/4) + (65/12) = (-15/4) × (3/3) + (65/12) = (-45/12) + (65/12) = (65 – 45)/12 = (20/12) = (5/3) 5. Simplify: (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)) Solution: (i) Given ((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2)) ((13/9) × (-15/2)) + ((7/3) × (8/5)) + ((3/5) × (1/2)) = (-195/18) + (56/15) + (3/10) = (-65/6) + (56/15) + (3/10) = (-65/6) × (5/5) + (56/15) × (2/2) + (3/10) × (3/3). = (-325/30) + (112/30) + (9/30) = (-325 + 112 + 9)/30 = (-204/30) = (-34/5) (ii) Given ((3/11) × (5/6)) – ((9/12) × ((4/3)) + ((5/13) × (6/15)) ((3/11) × (5/6)) – ((9/12) × ((4/3)) + ((5/13) × (6/15)) = (15/66) – (36/36) + (30/195) = (5/22) – (12/12) + (1/11) = (5/22) – 1 + (2/13) = (5/22) × (13/13) + (1/1) × (286/286) + (2/13) × (22/22) = (65/286) – (286/286) + (44/286) = (-177/286)Read More
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