Converting 6.1414 to a Fraction
Step-by-step explanation of how to convert 6.1414 to a fraction
Result
6.1414 =
30707
5000
Mixed number:
6
707
5000
Step 1: Identify the number of decimal places
The decimal 6.1414 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
6.1414 × 10000 = 61414
Step 3: Write as a fraction
6.1414 =
61414
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 61414 and 10000.
GCD(61414, 10000) = 2
Divide both the numerator and denominator by the GCD:
61414
10000
=
61414 ÷ 2
10000 ÷ 2
=
30707
5000
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