Converting 6.89272 to a Fraction
Step-by-step explanation of how to convert 6.89272 to a fraction

Result

6.89272 =
86159
12500
Mixed number:
6
11159
12500

Step 1: Identify the number of decimal places

The decimal 6.89272 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

6.89272 × 100000 = 689272

Step 3: Write as a fraction

6.89272 =

689272
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 689272 and 100000.

GCD(689272, 100000) = 8

Divide both the numerator and denominator by the GCD:

689272
100000

=

689272 ÷ 8
100000 ÷ 8

=

86159
12500
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