Question

9 1/5 - (5x - 4 1/2): 11 1/4 = 8 14/15

Answer 1

9 1/5-(5x-4 1/2):11 1/4=8 14/15
(5x4 1/2):11 1/4=5x:45/4=4/15-2/5
-4/15x=134/15-46/5-2/5
-4/15=134/15-48/5
-4/15X = 134/15-144/15
-4/15X=-10/15
X = 10/15:4/15
X=2 1/2

Answer 2

To solve the equation: 9 1/5 + (5x + 4 1/2) / 11 1/4 = 8 14/15, we need to follow the order of operations and simplify the expression step-by-step.

Step 1: Simplify the expression within the parentheses. 5x + 4 1/2 = 9/2 + 4 1/2 = (9 + 4) / 2 + 1/2 = 13/2 + 1/2 = 14/2 = 7

Step 2: Rewrite the equation with the simplified expression. 9 1/5 + 7 / 11 1/4 = 8 14/15

Step 3: Convert all mixed numbers to improper fractions. 9 1/5 = (9 * 5 + 1) / 5 = 46/5 11 1/4 = (11 * 4 + 1) / 4 = 45/4 8 14/15 = (8 * 15 + 14) / 15 = 134/15

The equation becomes: 46/5 + 7 / 45/4 = 134/15

Step 4: Find a common denominator for the fractions. The common denominator for 5, 4, and 15 is 60.

46/5 * (12/12) = 552/60 7 * (15/15) = 105/60 134/15 * (4/4) = 536/60

The equation becomes: 552/60 + 105/60 = 536/60

Step 5: Combine the fractions. 552/60 + 105/60 = (552 + 105) / 60 = 657/60

Step 6: Simplify the fraction if possible. 657/60 = 10 57/60

Therefore, the solution to the equation 9 1/5 + (5x + 4 1/2) / 11 1/4 = 8 14/15 is x = 10 57/60.