Converting 12.34375 to a Fraction
Step-by-step explanation of how to convert 12.34375 to a fraction

Result

12.34375 =
395
32
Mixed number:
12
11
32

Step 1: Identify the number of decimal places

The decimal 12.34375 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

12.34375 × 100000 = 1234375

Step 3: Write as a fraction

12.34375 =

1234375
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1234375 and 100000.

GCD(1234375, 100000) = 3125

Divide both the numerator and denominator by the GCD:

1234375
100000

=

1234375 ÷ 3125
100000 ÷ 3125

=

395
32
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