Converting 0.896375 to a Fraction
Step-by-step explanation of how to convert 0.896375 to a fraction
Result
0.896375 =
7171
8000
Step 1: Identify the number of decimal places
The decimal 0.896375 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.896375 × 1000000 = 896375
Step 3: Write as a fraction
0.896375 =
896375
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 896375 and 1000000.
GCD(896375, 1000000) = 125
Divide both the numerator and denominator by the GCD:
896375
1000000
=
896375 ÷ 125
1000000 ÷ 125
=
7171
8000
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