a. -5 1/3 : (-1 1/3) = .... b. (-1/2 + 1/4) x (-1/5 - 1/10) = .... c. (-3/5 - 2/3) : [1/2 - (-3/5)] = .... d. -3 2/3 + 3/10 x (-4 1/6) + 1 3/4 = .... e. 4 1/5 x

(-1/2 + 1/4) × (-1/5 - 1/10) = -1/4 × (-3/10) = 3/40

a.
-5 1/3 : (-1 1/3)
= -16/3 : (-4/3)
= -16/3 × (-3/4)
= -48/-12
= 4

b.
(-1/2 + 1/4) × (-1/5 - 1/10)
= (-2/4 + 1/4) × (-2/10 - 1/10)
= (-1/4) × (-3/10)
= 3/40

c.
(-3/5 - 2/3) : (1/2 - (-3/5))
= (-9/15 - 10/15) : (5/10 + 6/10)
= (-19/15) : (11/10)
= (-19/15) × (10/11)
= (-190/165)
= -1 25/165
= -1 5/33

d.
-3 2/3 + 3/10 × (-4 1/6) + 1 3/4
= -3 8/12 + 3/10 × (-25/6) + 1 9/12
= -1 11/12 + (-75/60)
= -1 11/12 + (-1 15/60)
= -1 11/12 - 1 3/12
= -2 14/12
= -3 2/12
= -3 1/6

e.
4 1/5 × (-6 3/7) + 5 5/8 : 2 1/12 - 10 7/15
= 21/5 × (-45/7) + 45/8 : 25/12 - 10 7/15
= - 945/35 + 45/8 × 12/25 - 10 7/15
= -27 + 540/200 - 10 7/15
= -37 7/15 + 2 140/200
= -37 7/15 + 2 7/10
= -37 14/30 + 2 21/30
= -36 44/30 + 2 21/30
= -34 23/30