Converting 10.85 to Fraction

Converting 10.85 to a Fraction

Converting a decimal number to a fraction is a useful skill in mathematics and various real-life applications. In this post, we will explore the step-by-step process of converting 10.85 to a fraction.

Understanding Decimals and Fractions

Before we dive into the conversion process, let’s quickly review the concepts of decimals and fractions. A decimal is a way of representing a number using a point (.) to separate the whole part from the fractional part. For example, 10.85 is a decimal number where 10 is the whole part and 0.85 is the fractional part.

On the other hand, a fraction is a way of representing a number as a ratio of two integers. For example, ¹⁷⁄₂₀ is a fraction where 17 is the numerator (the top number) and 20 is the denominator (the bottom number).

Converting 10.85 to a Fraction

To convert 10.85 to a fraction, we need to follow these steps:

1. Separate the whole part from the fractional part: In this case, the whole part is 10 and the fractional part is 0.85.
2. Find the equivalent fraction for the fractional part: To do this, we need to find the closest fraction to 0.85. We can use a calculator or a fraction chart to find that 0.85 is equivalent to ¹⁷⁄₂₀.
3. Combine the whole part and the fractional part: Now that we have the equivalent fraction for the fractional part, we can combine it with the whole part. To do this, we multiply the whole part (10) by the denominator (20) and then add the numerator (17).

Here’s the calculation:

10 x 20 = 200 200 + 17 = 217

So, the equivalent fraction for 10.85 is ²¹⁷⁄₂₀.

Simplifying the Fraction (Optional)

If we want to simplify the fraction ²¹⁷⁄₂₀, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 217 and 20 is 1, so we cannot simplify the fraction further.

However, we can express the fraction as a mixed number, which is a combination of a whole number and a fraction. To do this, we divide the numerator (217) by the denominator (20):

217 ÷ 20 = 10 with a remainder of 17

So, the mixed number equivalent of ²¹⁷⁄₂₀ is 10 ¹⁷⁄₂₀.

Conclusion

Converting a decimal number to a fraction is a useful skill that can be applied in various mathematical and real-life situations. In this post, we have explored the step-by-step process of converting 10.85 to a fraction, which is ²¹⁷⁄₂₀. We have also simplified the fraction and expressed it as a mixed number.

📝 Note: When converting a decimal number to a fraction, make sure to separate the whole part from the fractional part and find the equivalent fraction for the fractional part.

What is the difference between a decimal and a fraction?

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A decimal is a way of representing a number using a point (.) to separate the whole part from the fractional part, while a fraction is a way of representing a number as a ratio of two integers.

How do I convert a decimal number to a fraction?

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To convert a decimal number to a fraction, separate the whole part from the fractional part, find the equivalent fraction for the fractional part, and combine the whole part and the fractional part.

Can I simplify the fraction ²¹⁷⁄₂₀?

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No, the fraction ²¹⁷⁄₂₀ cannot be simplified further, but it can be expressed as a mixed number, which is 10 ¹⁷⁄₂₀.