Converting 40.742128 to a Fraction
Step-by-step explanation of how to convert 40.742128 to a fraction
Result
40.742128 =
2546383
62500
Mixed number:
40
46383
62500
Step 1: Identify the number of decimal places
The decimal 40.742128 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.742128 × 1000000 = 40742128
Step 3: Write as a fraction
40.742128 =
40742128
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40742128 and 1000000.
GCD(40742128, 1000000) = 16
Divide both the numerator and denominator by the GCD:
40742128
1000000
=
40742128 ÷ 16
1000000 ÷ 16
=
2546383
62500
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