Converting 15.6782 to a Fraction
Step-by-step explanation of how to convert 15.6782 to a fraction
Result
15.6782 =
78391
5000
Mixed number:
15
3391
5000
Step 1: Identify the number of decimal places
The decimal 15.6782 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.6782 × 10000 = 156782
Step 3: Write as a fraction
15.6782 =
156782
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 156782 and 10000.
GCD(156782, 10000) = 2
Divide both the numerator and denominator by the GCD:
156782
10000
=
156782 ÷ 2
10000 ÷ 2
=
78391
5000
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