Converting 6.618 to a Fraction
Step-by-step explanation of how to convert 6.618 to a fraction

Result

6.618 =
3309
500
Mixed number:
6
309
500

Step 1: Identify the number of decimal places

The decimal 6.618 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

6.618 × 1000 = 6618

Step 3: Write as a fraction

6.618 =

6618
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6618 and 1000.

GCD(6618, 1000) = 2

Divide both the numerator and denominator by the GCD:

6618
1000

=

6618 ÷ 2
1000 ÷ 2

=

3309
500
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