Converting 14.585 to a Fraction
Step-by-step explanation of how to convert 14.585 to a fraction

Result

14.585 =
2917
200
Mixed number:
14
117
200

Step 1: Identify the number of decimal places

The decimal 14.585 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

14.585 × 1000 = 14585

Step 3: Write as a fraction

14.585 =

14585
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14585 and 1000.

GCD(14585, 1000) = 5

Divide both the numerator and denominator by the GCD:

14585
1000

=

14585 ÷ 5
1000 ÷ 5

=

2917
200
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