Converting a decimal to a fraction can be a straightforward process, especially with decimals that have a limited number of digits after the decimal point. The decimal 0.83 is one such number that can be easily converted to a fraction. In this article, we will explore the steps to convert 0.83 to a fraction in its simplest form.
Understanding the Concept of Converting Decimals to Fractions
Before diving into the conversion process, it's essential to understand the concept behind converting decimals to fractions. A decimal is a way of expressing a number in the base-10 number system, where each digit after the decimal point represents a power of 10. For instance, 0.83 can be broken down into 8 tenths and 3 hundredths.
On the other hand, a fraction is a way of expressing a number as a ratio of two integers. In the case of 0.83, we need to find the equivalent ratio of two integers that represents this decimal value.
Step 1: Convert the Decimal to a Fraction
To convert 0.83 to a fraction, we can start by expressing it as a ratio of two integers. Since 0.83 has two digits after the decimal point, we can multiply it by 100 to shift the decimal point two places to the right. This gives us 83.
Next, we can express 83 as a ratio of two integers by writing it as 83/100. This fraction represents the decimal value of 0.83.
Step 2: Simplify the Fraction
The fraction 83/100 is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of 83 and 100. The GCD of 83 and 100 is 1, which means that the fraction is already in its simplest form.
However, we can still simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 1. This gives us 83/100 = 83/100.
Since the fraction 83/100 is already in its simplest form, we don't need to simplify it further.
Conclusion
In this article, we have explored the steps to convert 0.83 to a fraction in its simplest form. By following these two easy steps, we can convert any decimal to a fraction and simplify it to its lowest terms. The final answer is 83/100.
Gallery of Decimal to Fraction:
FAQs:
What is the simplest form of the fraction 83/100?
+The simplest form of the fraction 83/100 is 83/100.
How do you convert a decimal to a fraction?
+To convert a decimal to a fraction, multiply the decimal by a power of 10 to shift the decimal point to the right, then express the result as a ratio of two integers.
What is the greatest common divisor (GCD) of 83 and 100?
+The greatest common divisor (GCD) of 83 and 100 is 1.