Question

(1/2+1/3)/(1/4-1/6)-(8-(16/3-(3-5/2)))

Answer 1

|| ANSWER ||

( 1 / 2 + 1 / 3 ) / ( 1 / 4 - 1 / 6 ) - ( 8 - ( 16 / 3 - ( 3 - 5 / 2 )))

Take LCM of all the Denominator

Then, Solve

→ ( 3 / 6 + 2 / 6 ) / ( 3 / 12 - 2 / 12 ) - ( 8 - ( 16 / 3 - ( 6 / 2 - 5 / 2 )))

→ ( 5 / 6 ) / ( 1 / 12 ) - ( 8 - ( 16 / 3 - ( 1 / 2 )))

→ 5 / 6 / 1 / 12 - ( 8 - ( 16 / 6 / 2 - 1 / 2 ))

→ 5 × 12 / 6 × 1 - ( 8 - ( 16 / 5 / 2 ))

→ 60 / 6 - ( 8 - ( 16 / 5 × 2 ))

→ 10 - ( 8 - ( 16 / 10 ))

→ 10 - ( 8 - ( 8 / 5 ))

→ 10 - ( 40 / 5 - 8 / 5 )

→ 10 - ( 32 / 5 )

→ 50 / 5 - 32 / 5

→ 18 / 5

NOTE :-

• A rational number can be expressed as Fraction ( i.e in form of p / q )
• P & Q are integer
• Q is not equal to Zero
• Since Q may be equal to 1
• Only whole numbers and decimals belong in Q

Answer 2

Answer:

1 / 2 + 1 / 3 ) / ( 1 / 4 - 1 / 6 ) - ( 8 - ( 16 / 3 - ( 3 - 5 / 2 )))

Take LCM of all the Denominator

Then, Solve

→ ( 3 / 6 + 2 / 6 ) / ( 3 / 12 - 2 / 12 ) - ( 8 - ( 16 / 3 - ( 6 / 2 - 5 / 2 )))

→ ( 5 / 6 ) / ( 1 / 12 ) - ( 8 - ( 16 / 3 - ( 1 / 2 )))

→ 5 / 6 / 1 / 12 - ( 8 - ( 16 / 6 / 2 - 1 / 2 ))

→ 5 × 12 / 6 × 1 - ( 8 - ( 16 / 5 / 2 ))

→ 60 / 6 - ( 8 - ( 16 / 5 × 2 ))

→ 10 - ( 8 - ( 16 / 10 ))

→ 10 - ( 8 - ( 8 / 5 ))

→ 10 - ( 40 / 5 - 8 / 5 )

→ 10 - ( 32 / 5 )

→ 50 / 5 - 32 / 5

→ 18 / 5