Converting 42.145728 to a Fraction
Step-by-step explanation of how to convert 42.145728 to a fraction
Result
42.145728 =
658527
15625
Mixed number:
42
2277
15625
Step 1: Identify the number of decimal places
The decimal 42.145728 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
42.145728 × 1000000 = 42145728
Step 3: Write as a fraction
42.145728 =
42145728
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42145728 and 1000000.
GCD(42145728, 1000000) = 64
Divide both the numerator and denominator by the GCD:
42145728
1000000
=
42145728 ÷ 64
1000000 ÷ 64
=
658527
15625
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