Converting 8.215 to a Fraction
Step-by-step explanation of how to convert 8.215 to a fraction
Result
8.215 =
1643
200
Mixed number:
8
43
200
Step 1: Identify the number of decimal places
The decimal 8.215 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
8.215 × 1000 = 8215
Step 3: Write as a fraction
8.215 =
8215
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8215 and 1000.
GCD(8215, 1000) = 5
Divide both the numerator and denominator by the GCD:
8215
1000
=
8215 ÷ 5
1000 ÷ 5
=
1643
200
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