Converting 12.375 to a Fraction
Step-by-step explanation of how to convert 12.375 to a fraction

Result

12.375 =
99
8
Mixed number:
12
3
8

Step 1: Identify the number of decimal places

The decimal 12.375 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.375 × 1000 = 12375

Step 3: Write as a fraction

12.375 =

12375
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12375 and 1000.

GCD(12375, 1000) = 125

Divide both the numerator and denominator by the GCD:

12375
1000

=

12375 ÷ 125
1000 ÷ 125

=

99
8
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