Converting 0.6786 to a Fraction
Step-by-step explanation of how to convert 0.6786 to a fraction

Result

0.6786 =
3393
5000

Step 1: Identify the number of decimal places

The decimal 0.6786 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.6786 × 10000 = 6786

Step 3: Write as a fraction

0.6786 =

6786
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6786 and 10000.

GCD(6786, 10000) = 2

Divide both the numerator and denominator by the GCD:

6786
10000

=

6786 ÷ 2
10000 ÷ 2

=

3393
5000
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