Converting 6.67 to a Fraction
Step-by-step explanation of how to convert 6.67 to a fraction

Result

6.67 =
667
100
Mixed number:
6
67
100

Step 1: Identify the number of decimal places

The decimal 6.67 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

6.67 × 100 = 667

Step 3: Write as a fraction

6.67 =

667
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 667 and 100.

GCD(667, 100) = 1

Divide both the numerator and denominator by the GCD:

667
100

=

667 ÷ 1
100 ÷ 1

=

667
100
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