Converting 19.7782 to a Fraction
Step-by-step explanation of how to convert 19.7782 to a fraction
Result
19.7782 =
98891
5000
Mixed number:
19
3891
5000
Step 1: Identify the number of decimal places
The decimal 19.7782 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
19.7782 × 10000 = 197782
Step 3: Write as a fraction
19.7782 =
197782
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 197782 and 10000.
GCD(197782, 10000) = 2
Divide both the numerator and denominator by the GCD:
197782
10000
=
197782 ÷ 2
10000 ÷ 2
=
98891
5000
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