Converting 0.065 to a Fraction
Step-by-step explanation of how to convert 0.065 to a fraction

Result

0.065 =
13
200

Step 1: Identify the number of decimal places

The decimal 0.065 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.065 × 1000 = 65

Step 3: Write as a fraction

0.065 =

65
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 65 and 1000.

GCD(65, 1000) = 5

Divide both the numerator and denominator by the GCD:

65
1000

=

65 ÷ 5
1000 ÷ 5

=

13
200
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