Converting 14.575 to a Fraction
Step-by-step explanation of how to convert 14.575 to a fraction

Result

14.575 =
583
40
Mixed number:
14
23
40

Step 1: Identify the number of decimal places

The decimal 14.575 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

14.575 × 1000 = 14575

Step 3: Write as a fraction

14.575 =

14575
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14575 and 1000.

GCD(14575, 1000) = 25

Divide both the numerator and denominator by the GCD:

14575
1000

=

14575 ÷ 25
1000 ÷ 25

=

583
40
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