Converting 10.665 to a Fraction
Step-by-step explanation of how to convert 10.665 to a fraction

Result

10.665 =
2133
200
Mixed number:
10
133
200

Step 1: Identify the number of decimal places

The decimal 10.665 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.665 × 1000 = 10665

Step 3: Write as a fraction

10.665 =

10665
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10665 and 1000.

GCD(10665, 1000) = 5

Divide both the numerator and denominator by the GCD:

10665
1000

=

10665 ÷ 5
1000 ÷ 5

=

2133
200
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