Convert 0.175 To A Simple Fraction

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Converting a decimal to a simple fraction is a straightforward process.

0.175 can be converted to a fraction by dividing it by 1. Since 0.175 is 175 thousandths, we can express it as a fraction of 1000.

Converting 0.175 to a Fraction

To convert 0.175 to a fraction, follow these steps:

Step 1: Divide by 1

0.175 ÷ 1 = 0.175

Step 2: Multiply by 1000

0.175 × 1000 = 175

Step 3: Write as a Fraction

175/1000

Simplifying the Fraction

To simplify the fraction 175/1000, we need to find the greatest common divisor (GCD) of 175 and 1000.

Step 1: Find the GCD

The GCD of 175 and 1000 is 25.

Step 2: Divide Both Numbers by the GCD

175 ÷ 25 = 7 1000 ÷ 25 = 40

Step 3: Write the Simplified Fraction

7/40

So, the simple fraction equivalent to 0.175 is 7/40.

Why Simplifying Fractions Matters

Simplifying fractions is important because it makes calculations easier and more efficient. By reducing fractions to their simplest form, we can avoid working with large numbers and reduce the risk of errors.

Benefits of Simplifying Fractions

• Easier calculations • Reduced risk of errors • Improved understanding of fractions

Real-World Applications of Converting Decimals to Fractions

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

Examples of Real-World Applications

• Cooking and baking • Measurement and construction • Finance and economics • Science and engineering

In conclusion, converting 0.175 to a simple fraction is a straightforward process that involves dividing the decimal by 1, multiplying by 1000, and simplifying the resulting fraction. By understanding how to convert decimals to fractions, we can improve our calculations, reduce errors, and appreciate the many real-world applications of fractions.

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