Converting 16.125 to a Fraction
Step-by-step explanation of how to convert 16.125 to a fraction

Result

16.125 =
129
8
Mixed number:
16
1
8

Step 1: Identify the number of decimal places

The decimal 16.125 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

16.125 × 1000 = 16125

Step 3: Write as a fraction

16.125 =

16125
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 16125 and 1000.

GCD(16125, 1000) = 125

Divide both the numerator and denominator by the GCD:

16125
1000

=

16125 ÷ 125
1000 ÷ 125

=

129
8
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