Converting a decimal to a fraction is a straightforward process. To convert 0.125 to a fraction, we can follow these steps:
- Divide the decimal by 1 to create a fraction:
0.125 ÷ 1 = 0.125/1
- Multiply the numerator and denominator by 10 to remove the decimal:
0.125 × 10 = 1.25 1 × 10 = 10
So, 0.125/1 = 1.25/10
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 1.25 and 10 is 5.
1.25 ÷ 5 = 0.25 10 ÷ 5 = 2
So, 0.125 = 1/8 in simplest form.
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Converting Decimals to Fractions in Simplest Form
Converting decimals to fractions is an essential skill in mathematics. In this article, we will explore how to convert the decimal 0.125 to a fraction in simplest form.
Step-by-Step Conversion Process
To convert a decimal to a fraction, we need to follow these simple steps:
- Divide the decimal by 1 to create a fraction.
- Multiply the numerator and denominator by 10 to remove the decimal.
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Converting 0.125 to a Fraction
Let's apply the steps to convert 0.125 to a fraction:
- Divide the decimal by 1 to create a fraction:
0.125 ÷ 1 = 0.125/1
- Multiply the numerator and denominator by 10 to remove the decimal:
0.125 × 10 = 1.25 1 × 10 = 10
So, 0.125/1 = 1.25/10
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 1.25 and 10 is 5.
1.25 ÷ 5 = 0.25 10 ÷ 5 = 2
Simplest Form
Therefore, 0.125 = 1/8 in simplest form.
Practical Applications
Converting decimals to fractions has numerous practical applications in mathematics, science, and engineering. For instance, fractions are used to represent proportions, ratios, and percentages. Understanding how to convert decimals to fractions can help you solve problems in these areas more efficiently.
Conclusion: Taking Action
Now that you know how to convert 0.125 to a fraction in simplest form, we encourage you to practice this skill by converting other decimals to fractions. Share your results with friends and family, and explore the various applications of fractions in mathematics and science. Don't hesitate to ask questions or seek help when needed. Happy learning!
What is the simplest form of the fraction 0.125?
+0.125 = 1/8 in simplest form.
Why is it essential to convert decimals to fractions?
+Converting decimals to fractions helps to represent proportions, ratios, and percentages accurately. It is a crucial skill in mathematics, science, and engineering.
How can I practice converting decimals to fractions?
+Try converting different decimals to fractions using the steps outlined in this article. You can also find practice exercises online or in mathematics textbooks.