Write 1.8 as a fraction and as a percent.
The Correct Answer and Explanation is:
Correct Answer:
- Fraction: 1.8 = 9/5
- Percent: 1.8 = 180%
Explanation
To express 1.8 as both a fraction and a percent, we follow a few straightforward steps.
Converting 1.8 to a Fraction
The number 1.8 is a decimal. To convert it to a fraction:
- Recognize that 1.8 means “1 and 8 tenths.”
- Write it as a mixed number: 1.8=18101.8 = 1 \frac{8}{10}
- Convert to an improper fraction: 1810=1010+810=18101 \frac{8}{10} = \frac{10}{10} + \frac{8}{10} = \frac{18}{10}
- Simplify the fraction by dividing both the numerator and the denominator by 2: 1810=95\frac{18}{10} = \frac{9}{5}
So, 1.8 = 9/5.
Converting 1.8 to a Percent
To convert any decimal number to a percent, multiply by 100 and add the percent sign: 1.8×100=180%1.8 \times 100 = 180\%
So, 1.8 = 180%.
Understanding the Meaning
The decimal 1.8 is greater than 1, which means it represents more than a whole. When you convert it to a fraction (9/5), the numerator is larger than the denominator, showing it is an improper fraction. Improper fractions like this represent values greater than 1.
Similarly, 180% means “180 out of 100,” or 80% more than a whole. This tells us that 1.8 is 80% more than 1, or nearly double.
These conversions are useful in everyday life—for example, in comparing quantities, calculating interest rates, or understanding statistics. Mastering the process of switching between decimals, fractions, and percentages builds stronger number sense
.