Question

( 2 4/5 - 1 5/12 ) : 3 2/5 + 6 4/9 : 2=

Answer 1

( 2 4/5 - 1 5/12 ) ÷ 3 2/5 + 6 4/9 ÷ 2 = 1 23/60 ÷ 3 2/5 + 3 2/9 = 83/204 + 3 2/9 = 3 385/612

Answer 2

To solve the given expression, let's simplify each fraction individually before performing the operations.

Step 1: Simplify the fractions 2 4/5 = (2 * 5 + 4) / 5 = 14/5 1 5/12 = (1 * 12 + 5) / 12 = 17/12 3 2/5 = (3 * 5 + 2) / 5 = 17/5 6 4/9 = (6 * 9 + 4) / 9 = 58/9

Step 2: Perform the operations (14/5 - 17/12) / (17/5 + 58/9) / 2

To simplify this expression, we need to find the common denominator for the fractions in the numerator and denominator.

Common denominator for 5 and 12 is 60. Common denominator for 5, 9, and 60 is 180.

(14/5 * 12/12 - 17/12 * 5/5) / (17/5 * 36/36 + 58/9 * 20/20) / 2 (168/60 - 85/60) / (612/180 + 1160/180) / 2 (83/60) / (1772/180) / 2 (83/60) * (180/1772) / 2 (83/59) / 2

To divide by a fraction, we multiply by its reciprocal.

(83/59) * (1/2) 83/118

Therefore, the simplified value of the expression is 83/118.