Converting 42.7568 to a Fraction
Step-by-step explanation of how to convert 42.7568 to a fraction
Result
42.7568 =
26723
625
Mixed number:
42
473
625
Step 1: Identify the number of decimal places
The decimal 42.7568 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
42.7568 × 10000 = 427568
Step 3: Write as a fraction
42.7568 =
427568
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 427568 and 10000.
GCD(427568, 10000) = 16
Divide both the numerator and denominator by the GCD:
427568
10000
=
427568 ÷ 16
10000 ÷ 16
=
26723
625
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