Converting 0.23125 to a Fraction
Step-by-step explanation of how to convert 0.23125 to a fraction
Result
0.23125 =
37
160
Step 1: Identify the number of decimal places
The decimal 0.23125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.23125 × 100000 = 23125
Step 3: Write as a fraction
0.23125 =
23125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 23125 and 100000.
GCD(23125, 100000) = 625
Divide both the numerator and denominator by the GCD:
23125
100000
=
23125 ÷ 625
100000 ÷ 625
=
37
160
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