Converting 0.2815 to a Fraction
Step-by-step explanation of how to convert 0.2815 to a fraction
Result
0.2815 =
563
2000
Step 1: Identify the number of decimal places
The decimal 0.2815 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.2815 × 10000 = 2815
Step 3: Write as a fraction
0.2815 =
2815
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2815 and 10000.
GCD(2815, 10000) = 5
Divide both the numerator and denominator by the GCD:
2815
10000
=
2815 ÷ 5
10000 ÷ 5
=
563
2000
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