Question

2:3/5+3/5:2+1 1/2:6+6: 1 1/2​

Answer 1

____________________________

Answer 2

To solve the given expression, follow these steps:

Step 1: Convert all mixed fractions to improper fractions (if any). Step 2: Perform the operations according to the order of operations (PEMDAS/BODMAS).

Let's start with the expression: 2:3/5 + 3/5:2 + 1 1/2:6 + 6:1 1/2

Step 1: Convert mixed fractions to improper fractions (when necessary): 1 1/2 = (2 * 1 + 1) / 2 = 3/2 1 1/2:6 = (3/2) / 6 = 3/2 * 1/6 = 3/12 = 1/4

6:1 1/2 = 6 / (2 * 1 + 1) = 6 / 3 = 2

Now, the expression becomes: 2:3/5 + 3/5:2 + 1/4 + 2

Step 2: Perform the operations: 2:3/5 = 2 * (5/3) = 10/3 3/5:2 = (3/5) / 2 = 3/5 * 1/2 = 3/10

Now the expression becomes: 10/3 + 3/10 + 1/4 + 2

Next, we need to find a common denominator to add the fractions. The common denominator for 3, 10, and 4 is 60.

Converting all fractions to have a denominator of 60: 10/3 = (10/3) * (20/20) = 200/60 3/10 = (3/10) * (6/6) = 18/60 1/4 = (1/4) * (15/15) = 15/60

Now the expression becomes: 200/60 + 18/60 + 15/60 + 2

Adding the fractions: (200 + 18 + 15) / 60 = 233/60

Finally, adding the whole number: 233/60 + 2 = (233 + 120) / 60 = 353/60

So the simplified result of the expression is 353/60.