Converting 27.742144 to a Fraction
Step-by-step explanation of how to convert 27.742144 to a fraction
Result
27.742144 =
433471
15625
Mixed number:
27
11596
15625
Step 1: Identify the number of decimal places
The decimal 27.742144 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
27.742144 × 1000000 = 27742144
Step 3: Write as a fraction
27.742144 =
27742144
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 27742144 and 1000000.
GCD(27742144, 1000000) = 64
Divide both the numerator and denominator by the GCD:
27742144
1000000
=
27742144 ÷ 64
1000000 ÷ 64
=
433471
15625
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