What is 350 divided by 50 percent
The Correct Answer and Explanation is:
To solve 350 divided by 50 percent, begin by understanding that 50 percent means 50 per 100, or in decimal form, 0.5.
Now convert the problem into a simple division:350÷0.5350 \div 0.5350÷0.5
Dividing by a decimal can be thought of as multiplying by its reciprocal. The reciprocal of 0.5 is 2. This means:350÷0.5=350×2=700350 \div 0.5 = 350 \times 2 = 700350÷0.5=350×2=700
So, the correct answer is 700.
Explanation:
The concept of dividing by a percentage involves transforming the percentage into its decimal equivalent. A percentage expresses a number out of 100. In this case, 50% becomes 0.5. The original question then becomes a division problem involving a whole number and a decimal.
Dividing a number by a decimal smaller than 1 leads to a result larger than the original number. This occurs because asking “how many 0.5s are in 350” is the same as asking how many half-units can be found in 350 full units. Since two halves make one whole, every unit of 1 in 350 contains 2 halves. Multiplying 350 by 2 gives 700.
This result demonstrates a principle: dividing by a fraction or a decimal less than one increases the value. The operation essentially measures how many times a smaller quantity fits into a larger one. Using the reciprocal simplifies the calculation, avoiding complex decimal division.
Applications of this principle appear in budgeting, scaling recipes, or adjusting quantities. When percentages are involved, always convert to decimal or fraction first before performing any arithmetic operation. This approach ensures clarity and accuracy in solving percentage-based math problems.
