Divide 50 by( 1)/(2) and add 15 , then subtract 10

Divide 50 by( 1)/(2) and add 15 , then subtract 10. What did you get?

The correct answer and explanation is:

✅ Correct Answer:

The result is 115.

🧮 Step-by-Step Solution:

We are asked to:

1. Divide 50 by (1/2)
2. Add 15
3. Subtract 10

Let’s go step by step.

Step 1: Divide 50 by (1/2)

Dividing by a fraction is the same as multiplying by its reciprocal.
So, 50÷12=50×21=10050 \div \frac{1}{2} = 50 \times \frac{2}{1} = 100

Step 2: Add 15

100+15=115100 + 15 = 115

Step 3: Subtract 10

115−10=105115 – 10 = \boxed{105}

🟩 Correction: The final answer is actually 105, not 115.

✅ Final Answer: 105

🧠 300-Word Explanation:

This problem demonstrates the importance of correctly handling operations with fractions and the order of operations. It involves a division of a whole number by a fraction, followed by simple addition and subtraction.

The key concept here is that dividing by a fraction is equivalent to multiplying by its reciprocal. For example, dividing by ½ is the same as multiplying by 2. This is because you’re asking, “How many halves are in 50?” Since each whole contains 2 halves, there are 100 halves in 50. Thus, 50÷12=50×2=10050 \div \frac{1}{2} = 50 \times 2 = 100

After solving the division, the next step is to follow the basic arithmetic operations:

• First, add 15 to the result:
  100+15=115100 + 15 = 115
• Then, subtract 10:
  115−10=105115 – 10 = 105

It is important to follow the order of operations (sometimes called PEMDAS or BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction). In this problem, the only operation needing special attention is the division by a fraction.

By carefully applying each step, the correct final result is 105. This exercise reinforces fractional arithmetic and sequential problem-solving skills in math.