Converting 0.5414 to a Fraction
Step-by-step explanation of how to convert 0.5414 to a fraction
Result
0.5414 =
2707
5000
Step 1: Identify the number of decimal places
The decimal 0.5414 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.5414 × 10000 = 5414
Step 3: Write as a fraction
0.5414 =
5414
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5414 and 10000.
GCD(5414, 10000) = 2
Divide both the numerator and denominator by the GCD:
5414
10000
=
5414 ÷ 2
10000 ÷ 2
=
2707
5000
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