Converting 3.13828 to a Fraction
Step-by-step explanation of how to convert 3.13828 to a fraction
Result
3.13828 =
78457
25000
Mixed number:
3
3457
25000
Step 1: Identify the number of decimal places
The decimal 3.13828 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.13828 × 100000 = 313828
Step 3: Write as a fraction
3.13828 =
313828
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 313828 and 100000.
GCD(313828, 100000) = 4
Divide both the numerator and denominator by the GCD:
313828
100000
=
313828 ÷ 4
100000 ÷ 4
=
78457
25000
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