Converting 13.125 to a Fraction
Step-by-step explanation of how to convert 13.125 to a fraction

Result

13.125 =
105
8
Mixed number:
13
1
8

Step 1: Identify the number of decimal places

The decimal 13.125 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.125 × 1000 = 13125

Step 3: Write as a fraction

13.125 =

13125
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13125 and 1000.

GCD(13125, 1000) = 125

Divide both the numerator and denominator by the GCD:

13125
1000

=

13125 ÷ 125
1000 ÷ 125

=

105
8
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