Question

Simplify each of the following by using suitable properties. also name each property


(1/2 ×3/4) + (1/2 × 2/5)
​

Answer 1

Answer:

a) [ 1/2 . 1/4 ] + [1/2 . 6]

   1/2 ( 1/4 + 6)

    1/2 ( 25/4 )

     25/8

The property is distributive under addition

b) [1/5 . 2/15 ] - [ 1/5 . 2/5 ]

     1/5 ( 2/15 - 2/5 )

      1/5 ( -4/15 )

       -4/75

The property is distributive under subtraction

c) -3/5 . { 3/7 + (-5/6) }

  -3/5 . { 3/7 - 5/6 }

  -3/5 . -17/42

   17/80

The property is distributive under addition .

'

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$(1 \div 2 \times 3 \div 4) + (1 \div 2 \times 2 \div 5) \\ = 3 \div 8 + 1 \div 5 \\ = 15 + 8 \div 40 \\ = 23 \div 40$

23/40 is the answer