Convert 0.3 to a fraction and a percent.
The correct answer and explanation is:
Sure! Here’s the answer along with a detailed explanation:
Convert 0.3 to a fraction and a percent
- Fraction form:
0.3 means “three-tenths” because the digit 3 is in the tenths place.
So, as a fraction: 0.3=3100.3 = \frac{3}{10}
This fraction is already in its simplest form because 3 and 10 have no common factors other than 1.
- Percent form:
To convert a decimal to a percent, multiply by 100 and add the percent sign (%): 0.3×100=300.3 \times 100 = 30
So, 0.3=30%0.3 = 30\%
Explanation (about 300 words)
Decimals, fractions, and percentages are different ways to represent parts of a whole.
- Decimal 0.3 represents three parts out of ten. This is because the digit 3 is in the first decimal place (the tenths place). So 0.3 means 310\frac{3}{10} or three-tenths.
- Fractions are a way to show how many parts of a certain size we have. For 0.3, since it is three-tenths, the fraction is simply 310\frac{3}{10}. It’s important to check if this fraction can be simplified. Here, 3 and 10 don’t have any common divisors other than 1, so 310\frac{3}{10} is already in simplest form.
- Percentages are another way to express parts out of 100. Since percent means “per hundred,” converting a decimal to a percent involves multiplying the decimal by 100. For 0.3, multiplying by 100 gives 30, meaning 30 out of 100 parts, or 30%.
In summary:
- 0.3 as a fraction is 310\frac{3}{10}.
- 0.3 as a percent is 30%.
Understanding these conversions helps with comparing numbers, understanding proportions, and working with different representations in math and real life—such as sales discounts, statistics, and measurements. For example, a 30% discount on a product means you pay 30 parts less out of every 100 parts of the price, which can also be understood as 310\frac{3}{10} off the price, or 0.3 times the price reduction.