Question

2×2/1×(2/15-3×5/6)+4/1

Answer 1

1) 3*5/6= 15/6= 5/2

2)2/15- 5/2= (2*2-5*15)/30= (4-75)/30=71/30

3)2*2/1=4

4)4*71/30=2*71/15=142/15=9*7/15

9*7/15+4/1=13*7/15

Answer 2

To solve the given expression, follow the order of operations (PEMDAS/BODMAS) to ensure the correct sequence of calculations:

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step-by-step:

Step 1: Solve within parentheses first: 2/15 - 3 × 5/6

Step 2: Perform multiplication and division: 2 × 2 / 1 × (result from Step 1) + 4 / 1

Step 1: 2/15 - 3 × 5/6

To simplify this, find a common denominator for 15 and 6, which is 30:

(2/15) - (3 × 5/6) = (2/15) - (25/30)

Now, subtract the fractions: (2/15) - (25/30) = (2/15) - (5/6)

Now, find a common denominator for 15 and 6, which is 30:

(2/15) - (5/6) = (4/30) - (25/30)

Now, subtract the fractions: (4/30) - (25/30) = -21/30

Step 2: 2 × 2 / 1 × (result from Step 1) + 4 / 1

Now, substitute the result from Step 1 into the expression: 2 × 2 / 1 × (-21/30) + 4 / 1

Now, perform multiplication and division from left to right: 4 / 1 = 4 2 × 2 = 4 4 / 1 × (-21/30) = -28/30

Now, add the two results: 4 + (-28/30) = 4 - 28/30

To make the result a mixed number, you can simplify the fraction: 4 - 28/30 = 4 - 14/15

Now, convert 4 to a fraction with a common denominator of 15: 4 = 60/15

Now, subtract the fractions: 60/15 - 14/15 = 46/15

So, the final result is 46/15 or 3 1/15 as a mixed number.