Converting 10.084 to a Fraction
Step-by-step explanation of how to convert 10.084 to a fraction
Result
10.084 =
2521
250
Mixed number:
10
21
250
Step 1: Identify the number of decimal places
The decimal 10.084 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.084 × 1000 = 10084
Step 3: Write as a fraction
10.084 =
10084
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10084 and 1000.
GCD(10084, 1000) = 4
Divide both the numerator and denominator by the GCD:
10084
1000
=
10084 ÷ 4
1000 ÷ 4
=
2521
250
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