Convert The Following Decimals To Percentages:(a) 0.5 (b) 0.74 (c) 0.35 (d) 0.08 (e) 0.1 (f) 0.52 (g) 0.8 (h) 0.07 (i) 0.04 (j) 0.18 (k) 0.4 (l) 0.3 Convert The Following Fractions To Percentages:(a) $\frac{1}{2}$ (b)
Introduction
In various mathematical operations, converting decimals and fractions to percentages is a crucial step. This article will guide you through the process of converting decimals and fractions to percentages, providing you with a solid understanding of the concepts involved.
Converting Decimals to Percentages
Decimals are numbers that have a fractional part, represented by a dot (.) followed by one or more digits. To convert a decimal to a percentage, you need to multiply it by 100.
Converting Decimal (a) 0.5 to Percentage
To convert 0.5 to a percentage, multiply it by 100.
0.5 \times 100 = 50\%
As you can see, 0.5 is equivalent to 50%.
Converting Decimal (b) 0.74 to Percentage
To convert 0.74 to a percentage, multiply it by 100.
0.74 \times 100 = 74\%
So, 0.74 is equivalent to 74%.
Converting Decimal (c) 0.35 to Percentage
To convert 0.35 to a percentage, multiply it by 100.
0.35 \times 100 = 35\%
Therefore, 0.35 is equivalent to 35%.
Converting Decimal (d) 0.08 to Percentage
To convert 0.08 to a percentage, multiply it by 100.
0.08 \times 100 = 8\%
Hence, 0.08 is equivalent to 8%.
Converting Decimal (e) 0.1 to Percentage
To convert 0.1 to a percentage, multiply it by 100.
0.1 \times 100 = 10\%
As a result, 0.1 is equivalent to 10%.
Converting Decimal (f) 0.52 to Percentage
To convert 0.52 to a percentage, multiply it by 100.
0.52 \times 100 = 52\%
Therefore, 0.52 is equivalent to 52%.
Converting Decimal (g) 0.8 to Percentage
To convert 0.8 to a percentage, multiply it by 100.
0.8 \times 100 = 80\%
Hence, 0.8 is equivalent to 80%.
Converting Decimal (h) 0.07 to Percentage
To convert 0.07 to a percentage, multiply it by 100.
0.07 \times 100 = 7\%
As a result, 0.07 is equivalent to 7%.
Converting Decimal (i) 0.04 to Percentage
To convert 0.04 to a percentage, multiply it by 100.
0.04 \times 100 = 4\%
Therefore, 0.04 is equivalent to 4%.
Converting Decimal (j) 0.18 to Percentage
To convert 0.18 to a percentage, multiply it by 100.
0.18 \times 100 = 18\%
Hence, 0.18 is equivalent to 18%.
Converting Decimal (k) 0.4 to Percentage
To convert 0.4 to a percentage, multiply it by 100.
0.4 \times 100 = 40\%
As a result, 0.4 is equivalent to 40%.
Converting Decimal (l) 0.3 to Percentage
To convert 0.3 to a percentage, multiply it by 100.
0.3 \times 100 = 30\%
Therefore, 0.3 is equivalent to 30%.
Converting Fractions to Percentages
Fractions are numbers that have a numerator and a denominator, separated by a line. To convert a fraction to a percentage, you need to divide the numerator by the denominator and multiply the result by 100.
Converting Fraction (a) 1/2 to Percentage
To convert 1/2 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{1}{2} \times 100 = 50\%
As you can see, 1/2 is equivalent to 50%.
Converting Fraction (b) 3/4 to Percentage
To convert 3/4 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{3}{4} \times 100 = 75\%
So, 3/4 is equivalent to 75%.
Converting Fraction (c) 2/3 to Percentage
To convert 2/3 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{2}{3} \times 100 = 66.67\%
Therefore, 2/3 is equivalent to 66.67%.
Converting Fraction (d) 1/4 to Percentage
To convert 1/4 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{1}{4} \times 100 = 25\%
Hence, 1/4 is equivalent to 25%.
Converting Fraction (e) 3/5 to Percentage
To convert 3/5 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{3}{5} \times 100 = 60\%
As a result, 3/5 is equivalent to 60%.
Converting Fraction (f) 2/5 to Percentage
To convert 2/5 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{2}{5} \times 100 = 40\%
Therefore, 2/5 is equivalent to 40%.
Converting Fraction (g) 1/3 to Percentage
To convert 1/3 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{1}{3} \times 100 = 33.33\%
Hence, 1/3 is equivalent to 33.33%.
Converting Fraction (h) 4/5 to Percentage
To convert 4/5 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{4}{5} \times 100 = 80\%
As a result, 4/5 is equivalent to 80%.
Converting Fraction (i) 3/2 to Percentage
To convert 3/2 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{3}{2} \times 100 = 150\%
Therefore, 3/2 is equivalent to 150%.
Converting Fraction (j) 2/4 to Percentage
To convert 2/4 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{2}{4} \times 100 = 50\%
Hence, 2/4 is equivalent to 50%.
Converting Fraction (k) 1/5 to Percentage
To convert 1/5 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{1}{5} \times 100 = 20\%
As a result, 1/5 is equivalent to 20%.
Converting Fraction (l) 3/1 to Percentage
To convert 3/1 to a percentage, divide the numerator by the denominator and multiply the result by 100.
\frac{3}{1} \times 100 = 300\%
Therefore, 3/1 is equivalent to 300%.
Conclusion
Q: What is the difference between a decimal and a fraction?
A: A decimal is a number that has a fractional part, represented by a dot (.) followed by one or more digits. A fraction, on the other hand, is a number that has a numerator and a denominator, separated by a line.
Q: How do I convert a decimal to a percentage?
A: To convert a decimal to a percentage, multiply it by 100.
Q: How do I convert a fraction to a percentage?
A: To convert a fraction to a percentage, divide the numerator by the denominator and multiply the result by 100.
Q: What is the formula for converting a decimal to a percentage?
A: The formula for converting a decimal to a percentage is: (decimal) x 100 = percentage
Q: What is the formula for converting a fraction to a percentage?
A: The formula for converting a fraction to a percentage is: (numerator / denominator) x 100 = percentage
Q: Can I convert a decimal to a percentage by simply moving the decimal point two places to the right?
A: Yes, you can convert a decimal to a percentage by simply moving the decimal point two places to the right. However, this method only works if the decimal is a whole number.
Q: Can I convert a fraction to a percentage by simply dividing the numerator by the denominator?
A: Yes, you can convert a fraction to a percentage by simply dividing the numerator by the denominator. However, this method only works if the fraction is a whole number.
Q: What is the difference between a percentage and a percent?
A: A percentage and a percent are the same thing. The term "percentage" is often used to describe a value that is expressed as a fraction of 100, while the term "percent" is often used to describe a value that is expressed as a fraction of 100.
Q: Can I convert a decimal to a percentage using a calculator?
A: Yes, you can convert a decimal to a percentage using a calculator. Simply enter the decimal value and multiply it by 100.
Q: Can I convert a fraction to a percentage using a calculator?
A: Yes, you can convert a fraction to a percentage using a calculator. Simply enter the fraction value and multiply it by 100.
Q: What are some common mistakes to avoid when converting decimals and fractions to percentages?
A: Some common mistakes to avoid when converting decimals and fractions to percentages include:
- Forgetting to multiply the decimal or fraction by 100
- Forgetting to divide the numerator by the denominator
- Using the wrong formula or method
- Making arithmetic errors
Q: How can I practice converting decimals and fractions to percentages?
A: You can practice converting decimals and fractions to percentages by using online resources, such as calculators and worksheets, or by working with a tutor or teacher.
Q: Why is it important to convert decimals and fractions to percentages?
A: Converting decimals and fractions to percentages is an important skill in mathematics because it allows you to express values as a fraction of 100, which is a common way to express values in real-world applications.
Conclusion
Converting decimals and fractions to percentages is a fundamental concept in mathematics. By understanding the process of converting these numbers, you can perform various mathematical operations with ease. In this article, we have provided a comprehensive guide on converting decimals and fractions to percentages, covering various examples and scenarios. We hope that this article has been informative and helpful in your mathematical endeavors.