Converting 3.892 to a Fraction
Step-by-step explanation of how to convert 3.892 to a fraction

Result

3.892 =
973
250
Mixed number:
3
223
250

Step 1: Identify the number of decimal places

The decimal 3.892 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.892 × 1000 = 3892

Step 3: Write as a fraction

3.892 =

3892
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3892 and 1000.

GCD(3892, 1000) = 4

Divide both the numerator and denominator by the GCD:

3892
1000

=

3892 ÷ 4
1000 ÷ 4

=

973
250
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