0.87 As A Fraction In Simplest Form

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Converting a decimal to a fraction can be a useful skill in mathematics, and there are several ways to do it. In this article, we will explore the process of converting the decimal 0.87 to a fraction in simplest form.

Understanding Decimals and Fractions

Decimals and fractions are two ways to represent a part of a whole. A decimal is a number with a fractional part separated by a decimal point, while a fraction is a number written as the ratio of two integers, with the numerator (top number) divided by the denominator (bottom number).

Why Convert Decimals to Fractions?

Converting decimals to fractions is useful in various mathematical operations, such as addition, subtraction, multiplication, and division. Fractions can also be easier to compare and order than decimals. Moreover, converting decimals to fractions can help to simplify calculations and provide a clearer understanding of mathematical concepts.

Converting 0.87 to a Fraction

To convert 0.87 to a fraction, we need to find the ratio of the decimal part to the whole. Since 0.87 is 87 hundredths, we can write it as a fraction with a denominator of 100:

0.87 = 87/100

Simplifying the Fraction

The fraction 87/100 can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 87 and 100 is 1, which means that the fraction is already in its simplest form.

However, we can further simplify the fraction by dividing both the numerator and the denominator by their common factor, which is 1. This results in:

0.87 = 87/100 = 174/200 = 87/100 = 0.87

As we can see, the fraction 87/100 is already in its simplest form, so we cannot simplify it further.

Alternative Methods for Converting Decimals to Fractions

There are several alternative methods for converting decimals to fractions, including:

• Long Division Method: This method involves dividing the decimal part by the whole number and finding the remainder.
• Short Division Method: This method involves dividing the decimal part by the whole number and finding the remainder, but with a shorter calculation.
• Fractional Part Method: This method involves finding the fractional part of the decimal and converting it to a fraction.

These alternative methods can be useful in certain situations, but they may not always produce the simplest form of the fraction.

Real-World Applications of Converting Decimals to Fractions

Converting decimals to fractions has several real-world applications, including:

• Finance: Converting decimals to fractions can help in calculating interest rates, investment returns, and currency exchange rates.
• Science: Converting decimals to fractions can help in measuring quantities, such as volumes, masses, and lengths.
• Cooking: Converting decimals to fractions can help in scaling recipes, converting between units, and measuring ingredients.

Common Mistakes to Avoid When Converting Decimals to Fractions

When converting decimals to fractions, there are several common mistakes to avoid, including:

• Rounding errors: Rounding the decimal part can result in an inaccurate fraction.
• Omitting the denominator: Omitting the denominator can result in an incomplete fraction.
• Simplifying the fraction incorrectly: Simplifying the fraction incorrectly can result in an inaccurate or incomplete fraction.

Conclusion

In conclusion, converting the decimal 0.87 to a fraction in simplest form is a useful skill in mathematics. By following the steps outlined in this article, you can convert 0.87 to a fraction and simplify it to its simplest form. Remember to avoid common mistakes, such as rounding errors, omitting the denominator, and simplifying the fraction incorrectly.

Now that you have learned how to convert 0.87 to a fraction, try practicing with other decimals to become more confident in your math skills!

We hope you found this article informative and helpful. If you have any questions or comments, please feel free to share them with us below.