Question

help what is −3 3/4×5/6−2 1/3

Answer 1

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Answer 2

Answer:

19/24

Step-by-step explanation:

3 3/4

= 3 + 3/4

= 12/4 + 3/4

= ( 12 + 3 ) / 4

= 15/4

2 1/3

= 2 + 1/3

= 6/3 + 1/3

= ( 6 + 1 ) / 3

= 7/3

- 3 3/4 × 5/6 - 2 1/3

= 15/4 × 5/6 - 7/3

= ( 15/4 × 5/6 ) - 7/3

( 15 = 3 × 5 )

( 6 = 3 × 2 )

= ( 15/4 × 5/6 ) - 7/3

= ( ( 3 × 5 ) / 4 × 5 / ( 3 × 2 ) ) - 7/3

= [ ( 3 × 5 × 5 ) / ( 4 × 3 x 2 ) ] - 7/3

= [ ( 5 × 5 ) / ( 4 × 2 ) ] - 7/3

= 25/8 - 7/3

LCM of 8 and 3 = 24

25/8

= ( 25/8 ) × ( 3/3 )

= ( 25 × 3 ) / ( 8 × 3 )

= 75/24

7/3

= ( 7/3 ) × ( 8/8 )

= ( 7 × 8 ) / ( 3 × 8 )

= 56/24

25/8 - 7/3

= 75/24 - 56/24

= ( 75 - 56 ) / 24

= 19/24