Converting 6.8164 to a Fraction
Step-by-step explanation of how to convert 6.8164 to a fraction

Result

6.8164 =
17041
2500
Mixed number:
6
2041
2500

Step 1: Identify the number of decimal places

The decimal 6.8164 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.8164 × 10000 = 68164

Step 3: Write as a fraction

6.8164 =

68164
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 68164 and 10000.

GCD(68164, 10000) = 4

Divide both the numerator and denominator by the GCD:

68164
10000

=

68164 ÷ 4
10000 ÷ 4

=

17041
2500
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