0.65 As A Fraction In Simplest Form

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Converting decimals to fractions can be a bit tricky, but don't worry, we've got you covered.

Understanding Decimals and Fractions

Decimals and fractions are two different ways to represent numbers. Decimals are a way to express numbers using a point (.) to separate the whole part from the fractional part. Fractions, on the other hand, represent numbers as a ratio of two integers, with the top number (numerator) divided by the bottom number (denominator).

Converting Decimals to Fractions

To convert a decimal to a fraction, we need to find the place value of the last digit after the decimal point. In this case, we have 0.65. The last digit (5) is in the hundredths place, which means we need to multiply the decimal by 100 to get rid of the decimal point.

Converting 0.65 to a Fraction

Let's convert 0.65 to a fraction:

0.65 × 100 = 65

Now, we have a numerator (65) and a denominator (100). We can simplify this fraction by dividing both numbers by 5:

65 ÷ 5 = 13 100 ÷ 5 = 20

So, the simplified fraction is:

13/20

Understanding the Fraction 13/20

The fraction 13/20 represents the decimal 0.65. This means that 0.65 is equal to 13 parts out of a total of 20 parts. You can think of it as having 13 slices of pizza out of a total of 20 slices.

Real-World Applications of Decimals and Fractions

Decimals and fractions are used in various real-world applications, such as:

• Cooking: Recipes often use fractions and decimals to measure ingredients.
• Finance: Decimals are used to represent interest rates, stock prices, and other financial calculations.
• Science: Fractions are used to represent ratios and proportions in scientific calculations.

Conclusion

In conclusion, converting decimals to fractions can be a bit tricky, but with the right steps, you can do it easily. Remember to find the place value of the last digit after the decimal point and multiply the decimal by that number to get rid of the decimal point. Simplify the resulting fraction by dividing both numbers by their greatest common divisor. With practice, you'll become a pro at converting decimals to fractions!

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We hope this article has helped you understand how to convert decimals to fractions. If you have any questions or need further clarification, please don't hesitate to ask. Share this article with your friends and family who may find it helpful. Happy learning!