Converting 10.196 to a Fraction
Step-by-step explanation of how to convert 10.196 to a fraction
Result
10.196 =
2549
250
Mixed number:
10
49
250
Step 1: Identify the number of decimal places
The decimal 10.196 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.196 × 1000 = 10196
Step 3: Write as a fraction
10.196 =
10196
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10196 and 1000.
GCD(10196, 1000) = 4
Divide both the numerator and denominator by the GCD:
10196
1000
=
10196 ÷ 4
1000 ÷ 4
=
2549
250
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