2+1/2 ÷ 2-1/2 ÷ 4/7 (2/5 + 3/10)Option1. 2/22. 4/33. 15/24. 37 4/5?

Question

Answer

Step 1: Solve the Expression
To solve the expression 2 + 1/2 ÷ 2 - 1/2 ÷ 4/7 (2/5 + 3/10), we need to break it down:
- Start with the addition inside the parentheses:
- 2/5 + 3/10 = 4/10 + 3/10 = 7/10
Step 2: Substitute the Value
Now substitute 7/10 back into the expression:
2 + 1/2 ÷ 2 - 1/2 ÷ 4/7 * (7/10)
Step 3: Perform Division and Multiplication
- First, calculate the divisions:
- 1/2 ÷ 2 = 1/4
- 1/2 ÷ (4/7) = 1/2 * (7/4) = 7/8
Now, substitute these back into the expression:
2 + 1/4 - 7/8 * (7/10)
Step 4: Perform Multiplication
- Now calculate 7/8 * 7/10:
- = 49/80
Step 5: Combine All Components
Now substitute back into the expression:
2 + 1/4 - 49/80
- Convert 2 to a fraction:
- 2 = 160/80
- Convert 1/4 to a fraction:
- 1/4 = 20/80
Now combine:
160/80 + 20/80 - 49/80 = (160 + 20 - 49) / 80 = 131/80
Final Answer
Thus, the final answer is 131/80, which is equivalent to 1 51/80.

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