Converting 1.78142 to a Fraction
Step-by-step explanation of how to convert 1.78142 to a fraction
Result
1.78142 =
89071
50000
Mixed number:
1
39071
50000
Step 1: Identify the number of decimal places
The decimal 1.78142 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
1.78142 × 100000 = 178142
Step 3: Write as a fraction
1.78142 =
178142
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 178142 and 100000.
GCD(178142, 100000) = 2
Divide both the numerator and denominator by the GCD:
178142
100000
=
178142 ÷ 2
100000 ÷ 2
=
89071
50000
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