Converting 0.1795 to a Fraction
Step-by-step explanation of how to convert 0.1795 to a fraction
Result
0.1795 =
359
2000
Step 1: Identify the number of decimal places
The decimal 0.1795 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.1795 × 10000 = 1795
Step 3: Write as a fraction
0.1795 =
1795
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1795 and 10000.
GCD(1795, 10000) = 5
Divide both the numerator and denominator by the GCD:
1795
10000
=
1795 ÷ 5
10000 ÷ 5
=
359
2000
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