Converting 0.305 to a Fraction
Step-by-step explanation of how to convert 0.305 to a fraction
Result
0.305 =
61
200
Step 1: Identify the number of decimal places
The decimal 0.305 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.305 × 1000 = 305
Step 3: Write as a fraction
0.305 =
305
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 305 and 1000.
GCD(305, 1000) = 5
Divide both the numerator and denominator by the GCD:
305
1000
=
305 ÷ 5
1000 ÷ 5
=
61
200
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