Question

2 : 2 2/3 + 1 4/5 × 3 1/3 - 2 5/6

Answer 1

1) 2: 22/3 = 3/11
2) 14/5*31/3 = 28 14/15
3) 3/11+ 28 14/15 = 29 34/165
4) 29 34/165 - 25/6=  24 13/330

Answer 2

1) 2:2 2/3= 2: 8/3 = 2* 3/8 = 1* 3/4= 3/4

2) 1 4/5 * 3 1/3 = 9/5 * 10/3 = 3/1* 2/1= 6

3) 3/4+ 6 = 6 3/4

4) 6 3/4-2 5/6 = 6 9/12 - 2 10/12 = 5 21/12 - 2 10/12 = 3 11/12

Answer 3

To solve the expression, we need to perform the operations in the correct order: multiplication and division before addition and subtraction. Let's break it down step by step:

Step 1: Convert all mixed fractions to improper fractions.

2 2/3 = (2 * 3 + 2) / 3 = 8 / 3 1 4/5 = (1 * 5 + 4) / 5 = 9 / 5 3 1/3 = (3 * 3 + 1) / 3 = 10 / 3 2 5/6 = (2 * 6 + 5) / 6 = 17 / 6

So the expression becomes:

8/3 + 9/5 × 10/3 - 17/6

Step 2: Perform multiplication and division.

To multiply, simply multiply the numerators together and the denominators together:

(9/5) × (10/3) = (9 * 10) / (5 * 3) = 90 / 15 = 6

Step 3: Perform addition and subtraction.

Now the expression becomes:

8/3 + 6 - 17/6

Step 4: Find a common denominator to add and subtract the fractions.

The common denominator for 3 and 6 is 6. We need to convert 8/3 to a fraction with a denominator of 6:

8/3 = (8 * 2) / (3 * 2) = 16 / 6

Now the expression becomes:

16/6 + 6 - 17/6

Step 5: Combine the fractions and perform the final subtraction.

(16/6) + 6 - (17/6) = (16 + 6 - 17) / 6 = 5/6

So the final result is 5/6.