Converting 0.02823 to a Fraction
Step-by-step explanation of how to convert 0.02823 to a fraction

Result

0.02823 =
2823
100000

Step 1: Identify the number of decimal places

The decimal 0.02823 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.02823 × 100000 = 2823

Step 3: Write as a fraction

0.02823 =

2823
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2823 and 100000.

GCD(2823, 100000) = 1

Divide both the numerator and denominator by the GCD:

2823
100000

=

2823 ÷ 1
100000 ÷ 1

=

2823
100000
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