Express 0.83 As A Fraction In Simplest Form

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Expressing 0.83 as a fraction in simplest form can be done by writing it as 83/100.

Here's the step-by-step process:

0.83 = 83/100

To simplify this fraction, we need to find the greatest common divisor (GCD) of 83 and 100.

The factors of 83 are 1 and 83. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The GCD of 83 and 100 is 1, which means that the fraction 83/100 is already in its simplest form.

Therefore, 0.83 can be expressed as a fraction in simplest form as 83/100 or 83 hundredths.

Here is the article:

Expressing Decimals as Fractions

Expressing decimals as fractions is an essential concept in mathematics. It helps us to represent repeating or terminating decimals in a more simplified and understandable form. In this article, we will discuss how to express 0.83 as a fraction in simplest form.

Understanding Decimals and Fractions

Before we dive into expressing 0.83 as a fraction, let's quickly review the concepts of decimals and fractions.

Decimals are a way of representing numbers using a point (.) to separate the whole part from the fractional part. For example, 0.83 is a decimal number.

Fractions, on the other hand, represent a part of a whole as a ratio of two numbers. For example, 1/2 is a fraction that represents one part out of two equal parts.

Converting Decimals to Fractions

To convert a decimal to a fraction, we need to write it as a ratio of two numbers. The steps to do this are:

1. Write the decimal number as a fraction with the decimal part as the numerator and the place value of the decimal part as the denominator.
2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator.

Expressing 0.83 as a Fraction

Using the steps above, let's express 0.83 as a fraction.

0.83 = 83/100

To simplify this fraction, we need to find the GCD of 83 and 100.

The factors of 83 are 1 and 83. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The GCD of 83 and 100 is 1, which means that the fraction 83/100 is already in its simplest form.

Therefore, 0.83 can be expressed as a fraction in simplest form as 83/100 or 83 hundredths.

Why Expressing Decimals as Fractions is Important

Expressing decimals as fractions is important in various mathematical operations, such as addition, subtraction, multiplication, and division. It helps us to simplify complex calculations and represent numbers in a more understandable form.

Moreover, expressing decimals as fractions is crucial in real-world applications, such as science, engineering, and finance. For example, in chemistry, expressing concentrations of solutions as fractions helps us to calculate the amount of substances needed for a reaction.

Real-World Applications of Expressing Decimals as Fractions

Expressing decimals as fractions has numerous real-world applications. Here are a few examples:

• Cooking: Expressing ingredient ratios as fractions helps us to scale up or down recipes.
• Music: Expressing musical rhythms as fractions helps us to understand time signatures and note durations.
• Finance: Expressing interest rates as fractions helps us to calculate interest earned on investments.

Conclusion

In conclusion, expressing 0.83 as a fraction in simplest form is 83/100. Understanding how to express decimals as fractions is an essential concept in mathematics, and it has numerous real-world applications.

By following the steps outlined in this article, you can express any decimal number as a fraction in simplest form.

We hope this article has helped you to understand the concept of expressing decimals as fractions. If you have any questions or comments, please feel free to share them with us.