Find the value and express as a rational number in standard form:(i) 2

1.	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(v) -22/27 ÷ -110/18
Answer» i) (2/5) / (26/15) = (2/5) × (15/26) = (2/1) × (3/26) = (2×3) / (1×26) = 6/26 = 3/13 ii) (10/3) / (-35/12) = (10/3) × (12/-35) = (10/1) × (4/-35) = (10×4)/ (1×-35) = -40/35 = -8/7 iii) -6 / (-8/17) = -6 × (17/-8) = -3 × (17/-4) = (-3×17)/ (1×-4) = 51/4 iv) (-22/27) / (-110/18) = (-22/27) × (18/-110) = (-1/9) × (6/-5) = (-1/3) × (2/-5) = (-1×2) / (3×-5) = 2/15

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(v) -22/27 ÷ -110/18

Answer»

i) (2/5) / (26/15)

= (2/5) × (15/26)

= (2/1) × (3/26)

= (2×3) / (1×26)

= 6/26

= 3/13

ii) (10/3) / (-35/12)

= (10/3) × (12/-35)

= (10/1) × (4/-35)

= (10×4)/ (1×-35)

= -40/35

= -8/7

iii) -6 / (-8/17)

= -6 × (17/-8)

= -3 × (17/-4)

= (-3×17)/ (1×-4)

= 51/4

iv) (-22/27) / (-110/18)

= (-22/27) × (18/-110)

= (-1/9) × (6/-5)

= (-1/3) × (2/-5)

= (-1×2) / (3×-5)

= 2/15