Converting 2.85625 to a Fraction
Step-by-step explanation of how to convert 2.85625 to a fraction
Result
2.85625 =
457
160
Mixed number:
2
137
160
Step 1: Identify the number of decimal places
The decimal 2.85625 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.85625 × 100000 = 285625
Step 3: Write as a fraction
2.85625 =
285625
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 285625 and 100000.
GCD(285625, 100000) = 625
Divide both the numerator and denominator by the GCD:
285625
100000
=
285625 ÷ 625
100000 ÷ 625
=
457
160
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