Converting 12.74375 to a Fraction
Step-by-step explanation of how to convert 12.74375 to a fraction

Result

12.74375 =
2039
160
Mixed number:
12
119
160

Step 1: Identify the number of decimal places

The decimal 12.74375 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

12.74375 × 100000 = 1274375

Step 3: Write as a fraction

12.74375 =

1274375
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1274375 and 100000.

GCD(1274375, 100000) = 625

Divide both the numerator and denominator by the GCD:

1274375
100000

=

1274375 ÷ 625
100000 ÷ 625

=

2039
160
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