Converting 16.6744 to a Fraction
Step-by-step explanation of how to convert 16.6744 to a fraction
Result
16.6744 =
20843
1250
Mixed number:
16
843
1250
Step 1: Identify the number of decimal places
The decimal 16.6744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
16.6744 × 10000 = 166744
Step 3: Write as a fraction
16.6744 =
166744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 166744 and 10000.
GCD(166744, 10000) = 8
Divide both the numerator and denominator by the GCD:
166744
10000
=
166744 ÷ 8
10000 ÷ 8
=
20843
1250
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