Converting 0.1084 to a Fraction
Step-by-step explanation of how to convert 0.1084 to a fraction
Result
0.1084 =
271
2500
Step 1: Identify the number of decimal places
The decimal 0.1084 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.1084 × 10000 = 1084
Step 3: Write as a fraction
0.1084 =
1084
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1084 and 10000.
GCD(1084, 10000) = 4
Divide both the numerator and denominator by the GCD:
1084
10000
=
1084 ÷ 4
10000 ÷ 4
=
271
2500
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