Converting 4.624 to a Fraction
Step-by-step explanation of how to convert 4.624 to a fraction
Result
4.624 =
578
125
Mixed number:
4
78
125
Step 1: Identify the number of decimal places
The decimal 4.624 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.624 × 1000 = 4624
Step 3: Write as a fraction
4.624 =
4624
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4624 and 1000.
GCD(4624, 1000) = 8
Divide both the numerator and denominator by the GCD:
4624
1000
=
4624 ÷ 8
1000 ÷ 8
=
578
125
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