Converting 4.084 to a Fraction
Step-by-step explanation of how to convert 4.084 to a fraction

Result

4.084 =
1021
250
Mixed number:
4
21
250

Step 1: Identify the number of decimal places

The decimal 4.084 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.084 × 1000 = 4084

Step 3: Write as a fraction

4.084 =

4084
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4084 and 1000.

GCD(4084, 1000) = 4

Divide both the numerator and denominator by the GCD:

4084
1000

=

4084 ÷ 4
1000 ÷ 4

=

1021
250
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