Converting 10.208 to a Fraction
Step-by-step explanation of how to convert 10.208 to a fraction
Result
10.208 =
1276
125
Mixed number:
10
26
125
Step 1: Identify the number of decimal places
The decimal 10.208 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.208 × 1000 = 10208
Step 3: Write as a fraction
10.208 =
10208
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10208 and 1000.
GCD(10208, 1000) = 8
Divide both the numerator and denominator by the GCD:
10208
1000
=
10208 ÷ 8
1000 ÷ 8
=
1276
125
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