Converting 4.3825 to a Fraction
Step-by-step explanation of how to convert 4.3825 to a fraction
Result
4.3825 =
1753
400
Mixed number:
4
153
400
Step 1: Identify the number of decimal places
The decimal 4.3825 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.3825 × 10000 = 43825
Step 3: Write as a fraction
4.3825 =
43825
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 43825 and 10000.
GCD(43825, 10000) = 25
Divide both the numerator and denominator by the GCD:
43825
10000
=
43825 ÷ 25
10000 ÷ 25
=
1753
400
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