1.26 as a fraction

Breiz Heurope

2 min read

·

09-03-2025

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The decimal 1.26 can be easily converted into a fraction. This article will guide you through the process, explaining the steps involved and providing a clear understanding of the concept. Understanding how to convert decimals to fractions is a fundamental skill in mathematics.

Understanding Decimals and Fractions

Before we begin, let's briefly review the relationship between decimals and fractions. Decimals represent parts of a whole using a base-ten system (tenths, hundredths, thousandths, etc.). Fractions, on the other hand, represent parts of a whole using a numerator (top number) and a denominator (bottom number).

Converting 1.26 to a Fraction: A Step-by-Step Approach

Here's how to convert the decimal 1.26 into its fractional equivalent:

Step 1: Write the decimal as a fraction over 1.

This is our starting point:

1.26/1

Step 2: Multiply the numerator and denominator by a power of 10.

Since 1.26 has two digits after the decimal point (hundredths), we multiply the numerator and denominator by 100:

(1.26 x 100) / (1 x 100) = 126/100

Step 3: Simplify the fraction.

Now we need to simplify the fraction 126/100 by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 126 and 100 is 2. We divide both the numerator and the denominator by 2:

126 ÷ 2 = 63 100 ÷ 2 = 50

This gives us our simplified fraction:

63/50

Therefore, 1.26 as a fraction is 63/50.

Checking Your Work

To verify our conversion, we can convert the fraction back to a decimal by dividing the numerator by the denominator:

63 ÷ 50 = 1.26

This confirms that our conversion is correct.

Why is Understanding Decimal to Fraction Conversions Important?

The ability to convert between decimals and fractions is crucial in various mathematical applications, including:

• Algebra: Solving equations often involves working with both decimals and fractions.
• Geometry: Calculations involving lengths, areas, and volumes frequently require converting between these forms.
• Data Analysis: Interpreting data presented in decimal or fractional form is essential for accurate analysis.

This skill also strengthens your overall number sense and mathematical fluency.

Conclusion

Converting 1.26 to a fraction is a straightforward process involving a few simple steps. By following the steps outlined above, you can easily convert any decimal number into its equivalent fraction. Remember to always simplify the fraction to its lowest terms for the most concise representation. Mastering this skill will greatly enhance your mathematical abilities and problem-solving skills.