Question

(11/14 - 5/6):(11/14 - 3/4)=​

Answer 1

(11/14 - 5/6):(11/14 - 3/4)=- 1/21: 1/28 =-(1/21) * 28=- (1/3) * 4 =- 4/3,-1 1/3

Answer 2

To simplify the expression (11/14 - 5/6) : (11/14 - 3/4), follow these steps:

Step 1: Find a common denominator for the fractions in both the numerator and denominator of the expression. The common denominator for 14, 6, and 4 is 12.

Step 2: Convert the fractions to have the common denominator.

(11/14 - 5/6) : (11/14 - 3/4)

To convert 11/14 to have a denominator of 12: (11/14) * (6/6) = 66/84

To convert 5/6 to have a denominator of 12: (5/6) * (2/2) = 10/12

To convert 3/4 to have a denominator of 12: (3/4) * (3/3) = 9/12

The expression becomes: (66/84 - 10/12) : (66/84 - 9/12)

Step 3: Perform the operations within the parentheses first.

(66/84 - 10/12) = (33/42 - 35/42) = -2/42 = -1/21

(66/84 - 9/12) = (33/42 - 28/42) = 5/42

Step 4: Now, divide the two results.

(-1/21) : (5/42)

To divide fractions, multiply the first fraction by the reciprocal of the second fraction:

(-1/21) * (42/5) = -42/105 = -14/35

So, the simplified result of the expression (11/14 - 5/6) : (11/14 - 3/4) is -14/35.