Converting 3.09578 to a Fraction
Step-by-step explanation of how to convert 3.09578 to a fraction
Result
3.09578 =
154789
50000
Mixed number:
3
4789
50000
Step 1: Identify the number of decimal places
The decimal 3.09578 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.09578 × 100000 = 309578
Step 3: Write as a fraction
3.09578 =
309578
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309578 and 100000.
GCD(309578, 100000) = 2
Divide both the numerator and denominator by the GCD:
309578
100000
=
309578 ÷ 2
100000 ÷ 2
=
154789
50000
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