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Decimal to Fraction Converter

   

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Decimal to Fraction Converter
A Decimal to Fraction Converter is a tool that helps convert decimal numbers into fractions quickly and accurately. It is useful for students, professionals, and anyone dealing with mathematical calculations.

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What is Decimal?

A decimal is a number that includes a whole number and a fractional part separated by a decimal point (e.g., 3.25).

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What is Fraction?

A fraction represents a part of a whole and is written in the form of a/b, where a is the numerator and b is the denominator (e.g., 3/4).

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How to Convert Decimal to Fraction (Step-by-Step)

1. Write the Decimal Over 1:
   Example: 0.75 → 0.75/1

2. Eliminate the Decimal:
   Multiply both numerator and denominator by 100 (for two decimal places).
   0.75 × 100 / 1 × 100 = 75/100

3. Simplify the Fraction:
   Find the greatest common divisor (GCD) of 75 and 100 (which is 25).
   75 ÷ 25 / 100 ÷ 25 = 3/4

So, 0.75 = 3/4.

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Example – Negative Decimal to Fraction

If the decimal is -0.5:

1. Write it as -0.5/1

2. Multiply by 10 to remove decimal:
   -0.5 × 10 / 1 × 10 = -5/10

3. Simplify:
   -5/10 = -1/2

So, -0.5 = -1/2.