Converting 0.40576 to a Fraction
Step-by-step explanation of how to convert 0.40576 to a fraction
Result
0.40576 =
1268
3125
Step 1: Identify the number of decimal places
The decimal 0.40576 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.40576 × 100000 = 40576
Step 3: Write as a fraction
0.40576 =
40576
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40576 and 100000.
GCD(40576, 100000) = 32
Divide both the numerator and denominator by the GCD:
40576
100000
=
40576 ÷ 32
100000 ÷ 32
=
1268
3125
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