Converting 4.895 to a Fraction
Step-by-step explanation of how to convert 4.895 to a fraction
Result
4.895 =
979
200
Mixed number:
4
179
200
Step 1: Identify the number of decimal places
The decimal 4.895 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.895 × 1000 = 4895
Step 3: Write as a fraction
4.895 =
4895
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4895 and 1000.
GCD(4895, 1000) = 5
Divide both the numerator and denominator by the GCD:
4895
1000
=
4895 ÷ 5
1000 ÷ 5
=
979
200
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