Converting 1.3678 to a Fraction
Step-by-step explanation of how to convert 1.3678 to a fraction
Result
1.3678 =
6839
5000
Mixed number:
1
1839
5000
Step 1: Identify the number of decimal places
The decimal 1.3678 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.3678 × 10000 = 13678
Step 3: Write as a fraction
1.3678 =
13678
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13678 and 10000.
GCD(13678, 10000) = 2
Divide both the numerator and denominator by the GCD:
13678
10000
=
13678 ÷ 2
10000 ÷ 2
=
6839
5000
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