Converting 12.40768 to a Fraction
Step-by-step explanation of how to convert 12.40768 to a fraction
Result
12.40768 =
38774
3125
Mixed number:
12
1274
3125
Step 1: Identify the number of decimal places
The decimal 12.40768 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
12.40768 × 100000 = 1240768
Step 3: Write as a fraction
12.40768 =
1240768
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1240768 and 100000.
GCD(1240768, 100000) = 32
Divide both the numerator and denominator by the GCD:
1240768
100000
=
1240768 ÷ 32
100000 ÷ 32
=
38774
3125
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