Converting 4.75648 to a Fraction
Step-by-step explanation of how to convert 4.75648 to a fraction
Result
4.75648 =
14864
3125
Mixed number:
4
2364
3125
Step 1: Identify the number of decimal places
The decimal 4.75648 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
4.75648 × 100000 = 475648
Step 3: Write as a fraction
4.75648 =
475648
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 475648 and 100000.
GCD(475648, 100000) = 32
Divide both the numerator and denominator by the GCD:
475648
100000
=
475648 ÷ 32
100000 ÷ 32
=
14864
3125
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