Converting decimals to fractions can be a bit tricky, but it's a useful skill to have. The decimal 0.47 is a simple one to convert, and we'll explore the process step by step.
Understanding Decimals and Fractions
Before we dive into converting 0.47 to a fraction, it's essential to understand the basics of decimals and fractions. Decimals are a way of representing numbers using a point (.) to separate the whole part from the fractional part. Fractions, on the other hand, represent a part of a whole as a ratio of two numbers.
Converting Decimals to Fractions
To convert a decimal to a fraction, we need to find the place value of the last digit in the decimal. In this case, the last digit is 7, which is in the hundredths place.
The Conversion Process
To convert 0.47 to a fraction, we'll use the following steps:
- Identify the place value of the last digit (7), which is hundredths.
- Write the decimal as a fraction with the last digit (7) as the numerator and the place value (100) as the denominator: 7/100.
- Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator.
Simplifying the Fraction
The GCD of 7 and 100 is 1, which means the fraction 7/100 is already in its simplest form.
The Answer
The decimal 0.47 as a fraction in simplest form is 47/100.
Real-World Applications
Converting decimals to fractions has numerous real-world applications, such as:
- Measuring ingredients for cooking and baking
- Calculating proportions for art and design
- Understanding scientific concepts, like physics and engineering
Common Mistakes
When converting decimals to fractions, it's essential to avoid common mistakes, such as:
- Forgetting to simplify the fraction
- Writing the decimal as a fraction with the wrong place value
- Not finding the greatest common divisor (GCD)
Conclusion
In conclusion, converting 0.47 to a fraction in simplest form requires understanding decimals and fractions, following the conversion process, and simplifying the fraction. By mastering this skill, you'll become more proficient in various real-world applications.
What is the decimal 0.47 as a fraction in simplest form?
+The decimal 0.47 as a fraction in simplest form is 47/100.
What is the greatest common divisor (GCD) of 7 and 100?
+The GCD of 7 and 100 is 1.
What are some real-world applications of converting decimals to fractions?
+Converting decimals to fractions has numerous real-world applications, such as measuring ingredients for cooking and baking, calculating proportions for art and design, and understanding scientific concepts, like physics and engineering.