Converting 3.413125 to a Fraction
Step-by-step explanation of how to convert 3.413125 to a fraction
Result
3.413125 =
5461
1600
Mixed number:
3
661
1600
Step 1: Identify the number of decimal places
The decimal 3.413125 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.413125 × 1000000 = 3413125
Step 3: Write as a fraction
3.413125 =
3413125
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3413125 and 1000000.
GCD(3413125, 1000000) = 625
Divide both the numerator and denominator by the GCD:
3413125
1000000
=
3413125 ÷ 625
1000000 ÷ 625
=
5461
1600
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