Converting 31.45728 to a Fraction
Step-by-step explanation of how to convert 31.45728 to a fraction
Result
31.45728 =
98304
3125
Mixed number:
31
1429
3125
Step 1: Identify the number of decimal places
The decimal 31.45728 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
31.45728 × 100000 = 3145728
Step 3: Write as a fraction
31.45728 =
3145728
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3145728 and 100000.
GCD(3145728, 100000) = 32
Divide both the numerator and denominator by the GCD:
3145728
100000
=
3145728 ÷ 32
100000 ÷ 32
=
98304
3125
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