Converting 3.1225 to a Fraction
Step-by-step explanation of how to convert 3.1225 to a fraction
Result
3.1225 =
1249
400
Mixed number:
3
49
400
Step 1: Identify the number of decimal places
The decimal 3.1225 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1225 × 10000 = 31225
Step 3: Write as a fraction
3.1225 =
31225
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31225 and 10000.
GCD(31225, 10000) = 25
Divide both the numerator and denominator by the GCD:
31225
10000
=
31225 ÷ 25
10000 ÷ 25
=
1249
400
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