Converting 6.89876 to a Fraction
Step-by-step explanation of how to convert 6.89876 to a fraction

Result

6.89876 =
172469
25000
Mixed number:
6
22469
25000

Step 1: Identify the number of decimal places

The decimal 6.89876 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

6.89876 × 100000 = 689876

Step 3: Write as a fraction

6.89876 =

689876
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 689876 and 100000.

GCD(689876, 100000) = 4

Divide both the numerator and denominator by the GCD:

689876
100000

=

689876 ÷ 4
100000 ÷ 4

=

172469
25000
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