Converting 4.65408 to a Fraction
Step-by-step explanation of how to convert 4.65408 to a fraction
Result
4.65408 =
14544
3125
Mixed number:
4
2044
3125
Step 1: Identify the number of decimal places
The decimal 4.65408 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.65408 × 100000 = 465408
Step 3: Write as a fraction
4.65408 =
465408
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 465408 and 100000.
GCD(465408, 100000) = 32
Divide both the numerator and denominator by the GCD:
465408
100000
=
465408 ÷ 32
100000 ÷ 32
=
14544
3125
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