Converting Decimals to Fractions: A Step-by-Step Guide
Converting decimals to fractions is a fundamental math concept that can be applied in various fields, from science and engineering to finance and everyday life. In this article, we will explore the process of converting 0.6875 to a fraction, highlighting the steps and techniques involved.
Understanding Decimals and Fractions
Before diving into the conversion process, it's essential to understand the basics of decimals and fractions. Decimals are a way of expressing 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 integers.
Converting 0.6875 to a Fraction
To convert 0.6875 to a fraction, we can use the following steps:
- Identify the decimal part: 0.6875
- Count the number of decimal places: 4
- Multiply the decimal by 10 raised to the power of the number of decimal places: 0.6875 × 10^4 = 6875
- Divide the result by 10 raised to the power of the number of decimal places: 6875 ÷ 10^4 = 6875/10000
- Simplify the fraction: 6875/10000 = 1375/2000 = 275/400 = 55/80
Simplifying the Fraction
The resulting fraction 55/80 can be further simplified by dividing both the numerator and the denominator by 5:
55 ÷ 5 = 11
80 ÷ 5 = 16
The simplified fraction is 11/16.
Practical Applications of Converting Decimals to Fractions
Converting decimals to fractions has numerous practical applications in various fields, including:
- Science and engineering: Fractions are often used to represent measurements, proportions, and ratios in scientific and engineering applications.
- Finance: Fractions are used to calculate interest rates, investment returns, and other financial metrics.
- Cooking and recipes: Fractions are used to represent ingredient proportions and measurements in cooking and recipes.
Conclusion
In conclusion, converting decimals to fractions is a fundamental math concept that can be applied in various fields. By following the steps outlined in this article, you can convert 0.6875 to a fraction and simplify it to its lowest terms. Remember to practice converting decimals to fractions regularly to become more proficient in this skill.
Gallery of Fractions
What is the purpose of converting decimals to fractions?
+Converting decimals to fractions is essential in various mathematical and real-world applications, including science, engineering, finance, and cooking.
How do I simplify a fraction?
+To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).
What are some practical applications of converting decimals to fractions?
+Converting decimals to fractions has numerous practical applications, including science, engineering, finance, cooking, and more.