Converting 18.7792 to a Fraction
Step-by-step explanation of how to convert 18.7792 to a fraction
Result
18.7792 =
11737
625
Mixed number:
18
487
625
Step 1: Identify the number of decimal places
The decimal 18.7792 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
18.7792 × 10000 = 187792
Step 3: Write as a fraction
18.7792 =
187792
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 187792 and 10000.
GCD(187792, 10000) = 16
Divide both the numerator and denominator by the GCD:
187792
10000
=
187792 ÷ 16
10000 ÷ 16
=
11737
625
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