Question

Q5. Simplify the following by using suitable
property. Also name the property.
​

Answer 1

Answer:

a) 7/60

b) (-21/88)

Step-by-step explanation:

a) [1/2 × 5/6] + [-3/5 × 1/2]

= 1/2 × [5/6 + (-3/5)

L.C.M. of 6 and 5 is 30

So, 5/6×5/5 = 25/30 and -3/5×6/6 = -18/30

= 1/2 × [25/30 + (-18/30)]

= 1/2 × (25/30 - 18/30)

= 1/2 × (25-18/30)

= 1/2 × 7/30

= 7/60

Ans:- 7/60. The property used is Distributive Property of multiplication over addition.

b) [-3/11 × 1/8] + [-3/11 × 3/4]

= (-3/11) × (1/8 + 3/4)

L.C.M of 8 and 4 is 8

So, 1/8×1/1 = 1/8 and 3/4×2/2 = 6/8

= (-3/11) × (1/8 + 6/8)

= (-3/11) × (1+6/8)

= (-3/11) × 7/8

= (-21/88)

Ans:- (-21/88). The property used is Distributive Property of multiplication over addition.

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hope it is clear :)

Answer 2

Answer:

answer is in the attachment