Converting 6.695 to a Fraction
Step-by-step explanation of how to convert 6.695 to a fraction

Result

6.695 =
1339
200
Mixed number:
6
139
200

Step 1: Identify the number of decimal places

The decimal 6.695 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

6.695 × 1000 = 6695

Step 3: Write as a fraction

6.695 =

6695
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6695 and 1000.

GCD(6695, 1000) = 5

Divide both the numerator and denominator by the GCD:

6695
1000

=

6695 ÷ 5
1000 ÷ 5

=

1339
200
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