What is 1 1/4 in a percent
The Correct Answer and Explanation is :
To convert a mixed number like (1 \frac{1}{4}) to a percent, you can follow a few straightforward steps.
Step 1: Convert the Mixed Number to an Improper Fraction
A mixed number consists of a whole number and a fraction. To convert (1 \frac{1}{4}) into an improper fraction, multiply the whole number by the denominator and then add the numerator. The formula for this conversion is:
[
\text{Improper Fraction} = \left(\text{Whole Number} \times \text{Denominator}\right) + \text{Numerator}
]
For (1 \frac{1}{4}):
[
1 \times 4 + 1 = 4 + 1 = 5
]
So, (1 \frac{1}{4} = \frac{5}{4}).
Step 2: Convert the Improper Fraction to a Decimal
Next, divide the numerator by the denominator:
[
\frac{5}{4} = 1.25
]
Step 3: Convert the Decimal to a Percent
To convert a decimal to a percent, multiply it by 100 and add the percent sign:
[
1.25 \times 100 = 125\%
]
Summary
Thus, (1 \frac{1}{4}) as a percent is (125\%). This means that if something is increased by (1 \frac{1}{4}), it is effectively (125\%) of the original amount. Understanding how to convert fractions and decimals to percentages is essential in various fields, such as finance, education, and everyday life.
Percentages provide a way to express ratios in a standardized format, making it easier to understand and compare different quantities. This process of conversion can be applied to a wide range of mathematical problems, enhancing one’s ability to interpret and analyze data effectively. By mastering these conversions, individuals can make informed decisions based on percentage calculations, whether in budgeting, statistics, or other areas of analysis.