Converting 16.07824 to a Fraction
Step-by-step explanation of how to convert 16.07824 to a fraction
Result
16.07824 =
100489
6250
Mixed number:
16
489
6250
Step 1: Identify the number of decimal places
The decimal 16.07824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
16.07824 × 100000 = 1607824
Step 3: Write as a fraction
16.07824 =
1607824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1607824 and 100000.
GCD(1607824, 100000) = 16
Divide both the numerator and denominator by the GCD:
1607824
100000
=
1607824 ÷ 16
100000 ÷ 16
=
100489
6250
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