Converting 17.7844 to a Fraction
Step-by-step explanation of how to convert 17.7844 to a fraction
Result
17.7844 =
44461
2500
Mixed number:
17
1961
2500
Step 1: Identify the number of decimal places
The decimal 17.7844 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
17.7844 × 10000 = 177844
Step 3: Write as a fraction
17.7844 =
177844
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 177844 and 10000.
GCD(177844, 10000) = 4
Divide both the numerator and denominator by the GCD:
177844
10000
=
177844 ÷ 4
10000 ÷ 4
=
44461
2500
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