Converting 3.3825 to a Fraction
Step-by-step explanation of how to convert 3.3825 to a fraction
Result
3.3825 =
1353
400
Mixed number:
3
153
400
Step 1: Identify the number of decimal places
The decimal 3.3825 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.3825 × 10000 = 33825
Step 3: Write as a fraction
3.3825 =
33825
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 33825 and 10000.
GCD(33825, 10000) = 25
Divide both the numerator and denominator by the GCD:
33825
10000
=
33825 ÷ 25
10000 ÷ 25
=
1353
400
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