Converting 1.895 to a Fraction
Step-by-step explanation of how to convert 1.895 to a fraction
Result
1.895 =
379
200
Mixed number:
1
179
200
Step 1: Identify the number of decimal places
The decimal 1.895 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.895 × 1000 = 1895
Step 3: Write as a fraction
1.895 =
1895
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1895 and 1000.
GCD(1895, 1000) = 5
Divide both the numerator and denominator by the GCD:
1895
1000
=
1895 ÷ 5
1000 ÷ 5
=
379
200
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