Converting 6.9665 to a Fraction
Step-by-step explanation of how to convert 6.9665 to a fraction

Result

6.9665 =
13933
2000
Mixed number:
6
1933
2000

Step 1: Identify the number of decimal places

The decimal 6.9665 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.9665 × 10000 = 69665

Step 3: Write as a fraction

6.9665 =

69665
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 69665 and 10000.

GCD(69665, 10000) = 5

Divide both the numerator and denominator by the GCD:

69665
10000

=

69665 ÷ 5
10000 ÷ 5

=

13933
2000
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