Converting 3.438624 to a Fraction
Step-by-step explanation of how to convert 3.438624 to a fraction
Result
3.438624 =
107457
31250
Mixed number:
3
13707
31250
Step 1: Identify the number of decimal places
The decimal 3.438624 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
3.438624 × 1000000 = 3438624
Step 3: Write as a fraction
3.438624 =
3438624
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3438624 and 1000000.
GCD(3438624, 1000000) = 32
Divide both the numerator and denominator by the GCD:
3438624
1000000
=
3438624 ÷ 32
1000000 ÷ 32
=
107457
31250
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