Converting 3.40896 to a Fraction
Step-by-step explanation of how to convert 3.40896 to a fraction
Result
3.40896 =
10653
3125
Mixed number:
3
1278
3125
Step 1: Identify the number of decimal places
The decimal 3.40896 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.40896 × 100000 = 340896
Step 3: Write as a fraction
3.40896 =
340896
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 340896 and 100000.
GCD(340896, 100000) = 32
Divide both the numerator and denominator by the GCD:
340896
100000
=
340896 ÷ 32
100000 ÷ 32
=
10653
3125
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