Question

Please Answer all the questions​

Answer 1

Answer:

1) 1/4. 7) 2/3

2) 8/9. 8) 9/16

3) 6 9) 5/4

4) 2 10) 1/6

5) 3/2. 11) 1/5

6) 11/16. 12) 3/5

Step-by-step explanation:

1) 3/8 - ( 1/2 -3/8 )

LCM = 8

= 3/8 - ( 4-3/8 )

= 3/8 - 1/8

=. 3-1/8

=. 2/8

= 1/4

2) 1/6 + 1/2 × ( 2 - 2/3 )

LCM = 3

=. 1/6 + 1/2 × ( 6-2/3 )

=. 1/6 +1/2 × 4/3

LCM = 6

=. 1/6 + 3/6 × 4/3

=. 1+3/6 × 4/3

= 4/6 × 4/3

= 16/18

= 8/9

3) 4 × (1/2 + 2/8 ÷ 1/2)

LCM = 8

= 4 × ( 4/8 + 2/8 ÷ 1/2 )

=. 4 × ( 4+2/8 ÷ 1/2 )

=. 4 × (6/8 ÷ 1/2 )

= 4 × ( 6/8 × 2 )

= 4 × 6/4

= 6

4) 1/3 × ( 7 - 1 )

=. 1/3 × 6

= 2

5) 1 ÷ ( 1 ÷ ( 3 × 1/2 ) )

= 1÷ ( 1 ÷ ( 3/2 ) )

= 1 ÷ ( 1 × 2/3 )

= 1 ÷ 2/3

= 1 × 3/2

= 3/2

6) 1 - ( 1/2 + 2 × 1/8 )

LCM = 2

= 1 - ( 1/2 + 4/2 × 1/8 )

= 1- ( 1+4/2 × 1/8 )

= 1 - ( 5/2 × 1/8 )

= 1 - 5/16

LCM = 16

= 16-5/16

= 11/16

7) ( 1/3 +1 ) × 1/2 ÷ 7/7

LCM = 3

=. ( 1+3/3 ) × 1/2 ÷ 7/7

=. 4/3 × 1/2 ÷ 7/7

=. 2/3 ÷ 7/7

=. 2/3 × 7/7

=. 2/3

8) 2- 1/4 + 1/2 × 1/4

LCM = 4

=. 8/4 - 1/4 + 2/4 × 1/4

=. 8-1+2/4 × 1/4

=. 7+2/4 × 1/4

=. 9/4 × 1/4

=. 9/16

9) ( ( 4/2 - 1/2 ) +1 ) × 1/2

=. ( ( 4-1/2) +1 ) × 1/2

=. ( 3/2 +1 ) × 1/2

LCM = 2

=. 3+2/2 × 1/2

=. 5/2 × 1/2

=. 5/4

10). 4/6 - ( 2/3 - 1/6)

LCM = 6

=. 4/6 - ( 4-1/6 )

=. 4/6 - 3/6

=. 4-3/6

=. 1/6

11) ( 1 - 1/5 ) × 1/4

LCM = 5

=. ( 5-1/5 ) × 1/4

=. 4/5 × 1/4

=. 1/5

12) 3- ( 1/5 + 1 ÷ 1/2 )

LCM = 5

=. 3 - ( 1+5/5 ÷ 1/2 )

=. 3 - (. 6/5 ÷ 1/2 )

=. 3 - ( 6/5 × 2 )

=. 3 - ( 12/5 )

LCM = 5

=. 15-12/5

=. 3/5

I hope it help you

Thank you!