Converting 10.216 to a Fraction
Step-by-step explanation of how to convert 10.216 to a fraction
Result
10.216 =
1277
125
Mixed number:
10
27
125
Step 1: Identify the number of decimal places
The decimal 10.216 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.216 × 1000 = 10216
Step 3: Write as a fraction
10.216 =
10216
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10216 and 1000.
GCD(10216, 1000) = 8
Divide both the numerator and denominator by the GCD:
10216
1000
=
10216 ÷ 8
1000 ÷ 8
=
1277
125
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