Convert 0.45 To A Fraction In Simplest Form

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Converting a decimal to a fraction can be a bit tricky, but don't worry, I'm here to help.

Understanding Decimals and Fractions

Decimals and fractions are two different ways to represent numbers. A decimal is a number that has a whole number part and a fractional part, separated by a decimal point. A fraction, on the other hand, is a way to represent a part of a whole as a ratio of two numbers.

Converting 0.45 to a Fraction

To convert 0.45 to a fraction, we need to find the closest fraction that is equal to 0.45. We can do this by dividing 45 by 100, which is the same as dividing 45 by 10^2.

45 ÷ 100 = 9 ÷ 20

So, 0.45 can be written as a fraction: 9/20.

Simplifying the Fraction

Now, let's simplify the fraction 9/20. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 9 and 20 is 1. Since the GCD is 1, the fraction 9/20 is already in its simplest form.

Answer

Common Mistakes to Avoid

When converting decimals to fractions, there are a few common mistakes to avoid:

• Rounding the decimal to the nearest whole number or fraction.
• Not finding the simplest form of the fraction.
• Not using the correct denominator.

Real-World Applications

Converting decimals to fractions has many real-world applications, such as:

• Cooking: Recipes often require fractions of ingredients.
• Building: Fractions are used to measure lengths and widths of materials.
• Finance: Fractions are used to calculate interest rates and investments.

Conclusion: Take Action!

Now that you know how to convert 0.45 to a fraction, practice converting other decimals to fractions. Try converting 0.25, 0.75, and 0.125 to fractions.

Share your results in the comments below!