The percent equivalent of 1.09 is __ and the fraction is
The Correct Answer and Explanation is:
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The percent equivalent of 1.09 is 109% and the fraction is109100\frac{109}{100}100109
Explanation
To convert a decimal like 1.09 into a percent and a fraction, we follow two standard mathematical processes.
1. Decimal to Percent
To convert a decimal to a percent, multiply the number by 100 and add the percent symbol (%). This is because “percent” literally means “per hundred.”1.09×100=1091.09 \times 100 = 1091.09×100=109
So, 1.09 is equivalent to 109%. This means that the value is 9% more than a whole (100%).
For example, if you score 1.09 on a scale where 1.00 is full marks, then you’ve achieved 109%—more than perfect. In real-world situations, this might happen with extra credit or interest rates.
2. Decimal to Fraction
To convert 1.09 into a fraction, we consider what the decimal means. The decimal 1.09 can be split into two parts:
- 1 is the whole number.
- 0.09 is the decimal part.
We know that:0.09=91000.09 = \frac{9}{100}0.09=1009
So:1.09=1+9100=100100+9100=1091001.09 = 1 + \frac{9}{100} = \frac{100}{100} + \frac{9}{100} = \frac{109}{100}1.09=1+1009=100100+1009=100109
Thus, the fractional form of 1.09 is 109100\frac{109}{100}100109, which is an improper fraction because the numerator (109) is greater than the denominator (100).
This can also be written as a mixed number:109100=19100\frac{109}{100} = 1 \frac{9}{100}100109=11009
This representation is useful when expressing measurements or quantities in both whole and part units (like 1 whole and 9 hundredths).
Summary
- Percent: 1.09 = 109%
- Fraction: 1.09 = 109100\frac{109}{100}100109 or 1 9100\frac{9}{100}1009
Understanding these conversions helps with interpreting values in math, finance, science, and everyday life
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