Converting 4.659 to a Fraction
Step-by-step explanation of how to convert 4.659 to a fraction
Result
4.659 =
4659
1000
Mixed number:
4
659
1000
Step 1: Identify the number of decimal places
The decimal 4.659 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.659 × 1000 = 4659
Step 3: Write as a fraction
4.659 =
4659
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4659 and 1000.
GCD(4659, 1000) = 1
Divide both the numerator and denominator by the GCD:
4659
1000
=
4659 ÷ 1
1000 ÷ 1
=
4659
1000
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