Converting 0.35875 to a Fraction
Step-by-step explanation of how to convert 0.35875 to a fraction
Result
0.35875 =
287
800
Step 1: Identify the number of decimal places
The decimal 0.35875 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.35875 × 100000 = 35875
Step 3: Write as a fraction
0.35875 =
35875
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 35875 and 100000.
GCD(35875, 100000) = 125
Divide both the numerator and denominator by the GCD:
35875
100000
=
35875 ÷ 125
100000 ÷ 125
=
287
800
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