Converting 6.904 to a Fraction
Step-by-step explanation of how to convert 6.904 to a fraction

Result

6.904 =
863
125
Mixed number:
6
113
125

Step 1: Identify the number of decimal places

The decimal 6.904 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

6.904 × 1000 = 6904

Step 3: Write as a fraction

6.904 =

6904
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6904 and 1000.

GCD(6904, 1000) = 8

Divide both the numerator and denominator by the GCD:

6904
1000

=

6904 ÷ 8
1000 ÷ 8

=

863
125
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