Converting 3.421875 to a Fraction
Step-by-step explanation of how to convert 3.421875 to a fraction
Result
3.421875 =
219
64
Mixed number:
3
27
64
Step 1: Identify the number of decimal places
The decimal 3.421875 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.421875 × 1000000 = 3421875
Step 3: Write as a fraction
3.421875 =
3421875
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3421875 and 1000000.
GCD(3421875, 1000000) = 15625
Divide both the numerator and denominator by the GCD:
3421875
1000000
=
3421875 ÷ 15625
1000000 ÷ 15625
=
219
64
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