Converting 14.625 to a Fraction
Step-by-step explanation of how to convert 14.625 to a fraction

Result

14.625 =
117
8
Mixed number:
14
5
8

Step 1: Identify the number of decimal places

The decimal 14.625 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

14.625 × 1000 = 14625

Step 3: Write as a fraction

14.625 =

14625
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14625 and 1000.

GCD(14625, 1000) = 125

Divide both the numerator and denominator by the GCD:

14625
1000

=

14625 ÷ 125
1000 ÷ 125

=

117
8
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