Convert to a Simplified Fraction 0.6

Problem

0.6

Solution

1. Identify the place value of the decimal. Since the digit 6 is in the tenths place, the decimal can be written as a fraction with a denominator of 10

0.6=6/10

2. Find the greatest common divisor (GCD) of the numerator and the denominator. Both 6 and 10 are divisible by 2

GCD(6,10)=2

3. Simplify the fraction by dividing both the numerator and the denominator by their GCD.

(6÷2)/(10÷2)=3/5

Final Answer

0.6=3/5

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