What is 1 and and a quarter as a percentage
The Correct Answer and Explanation is:
Correct Answer:
1 and a quarter as a percentage is 125%.
Explanation
To convert a mixed number like 1 and a quarter into a percentage, we follow a few clear steps. First, let’s understand what 1 and a quarter means numerically. A mixed number includes both a whole number and a fraction. So:114=1+141\frac{1}{4} = 1 + \frac{1}{4}141=1+41
Now convert this to an improper fraction or decimal for ease of conversion:1+14=44+14=541 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4}1+41=44+41=45
Alternatively, you can also convert it to a decimal:54=1.25\frac{5}{4} = 1.2545=1.25
Now, to convert a decimal or a fraction into a percentage, you multiply it by 100. This is because “percent” literally means “per hundred.” So we are expressing the number in terms of parts per hundred.1.25×100=125%1.25 \times 100 = 125\%1.25×100=125%
Therefore, 1 and a quarter equals 125%.
Let’s understand this with a real-life context. Suppose you score 1 and a quarter times the full mark on a test. If the full mark is 100, then you’ve scored 125 points, or 125%. This concept also applies in finance. If you invest in a stock and its value increases by 1.25 times, your investment has grown by 125%.
It’s also useful to remember some common conversions:
- 1/2 = 50%
- 1/4 = 25%
- 3/4 = 75%
- 1 = 100%
- 1 and 1/4 = 125%
This method of converting is important in math, business, and science, where percentages are used to compare proportions, analyze trends, and communicate data clearly. Understanding how to convert fractions and mixed numbers into percentages is essential for accurate calculations and informed decision-making.
