Question

3 :3 3\4 + 2 2\5*2 1\2-3 5\6

Answer 1

1*3/4+2/5*2-5/2
3/4+4/5-5/2
-19/20

Answer 2

To solve the expression, let's first convert all mixed fractions into improper fractions and then perform the operations step by step:

Step 1: Convert mixed fractions to improper fractions

• 3 3/4 = (3 * 4 + 3) / 4 = 15 / 4
• 2 2/5 = (2 * 5 + 2) / 5 = 12 / 5
• 2 1/2 = (2 * 2 + 1) / 2 = 5 / 2
• 3 5/6 = (3 * 6 + 5) / 6 = 23 / 6

Step 2: Perform the operations according to the order of operations (PEMDAS/BODMAS)

• First, multiply 2 2/5 by 2 1/2: (12/5) * (5/2) = (12 * 5) / (5 * 2) = 60 / 10 = 6

• Next, perform subtraction between 6 and 3 5/6: 6 - 23/6

Step 3: Find a common denominator to subtract the fractions Since the denominator in the fraction 23/6 is 6, we don't need to change it. For the whole number 6, we can rewrite it as 6/1.

Step 4: Subtract the fractions (6 * 6/6) - 23/6 = (36/6) - 23/6 = (36 - 23) / 6 = 13 / 6

So, the final result is 13/6.