Converting 0.9965 to a Fraction
Step-by-step explanation of how to convert 0.9965 to a fraction
Result
0.9965 =
1993
2000
Step 1: Identify the number of decimal places
The decimal 0.9965 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.9965 × 10000 = 9965
Step 3: Write as a fraction
0.9965 =
9965
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9965 and 10000.
GCD(9965, 10000) = 5
Divide both the numerator and denominator by the GCD:
9965
10000
=
9965 ÷ 5
10000 ÷ 5
=
1993
2000
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