Convert to a Simplified Fraction 0.4

Problem

0.4

Solution

1. Identify the place value of the decimal. Since the digit 4 is in the tenths place, the decimal can be written as a fraction with a denominator of 10

0.4=4/10

2. Find the greatest common divisor (GCD) of the numerator and the denominator to simplify the fraction. Both 4 and 10 are divisible by 2

GCD(4,10)=2

3. Divide both the numerator and the denominator by the GCD.

(4÷2)/(10÷2)=2/5

Final Answer

0.4=2/5

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