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Question

write the decimal number 0.65 as a fraction reduced to lowest terms.

Asked By StarryKnight48 at

Answered By Expert

Gabe

Expert · 3.7k answers · 3k people helped

Solution By Steps

Step 1: Convert Decimal to Fraction

To convert 0.65 to a fraction, we can write it as 65/100 since there are two decimal places.

Step 2: Simplify the Fraction

To simplify 65/100, divide both the numerator and denominator by their greatest common divisor, which is 5.

Step 3: Final Fraction

65/100 simplifies to 13/20.

Final Answer

0.65 as a fraction reduced to lowest terms is 13/20.

Key Concept

Decimal to Fraction

Key Concept Explanation

Converting a decimal to a fraction involves writing the decimal as a fraction over a power of 10 and then simplifying the fraction to its lowest terms by dividing the numerator and denominator by their greatest common divisor. This process allows us to represent decimal numbers as fractions in a simplified form.