Converting 2.815 to a Fraction
Step-by-step explanation of how to convert 2.815 to a fraction
Result
2.815 =
563
200
Mixed number:
2
163
200
Step 1: Identify the number of decimal places
The decimal 2.815 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.815 × 1000 = 2815
Step 3: Write as a fraction
2.815 =
2815
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2815 and 1000.
GCD(2815, 1000) = 5
Divide both the numerator and denominator by the GCD:
2815
1000
=
2815 ÷ 5
1000 ÷ 5
=
563
200
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