Converting 4.6072 to a Fraction
Step-by-step explanation of how to convert 4.6072 to a fraction
Result
4.6072 =
5759
1250
Mixed number:
4
759
1250
Step 1: Identify the number of decimal places
The decimal 4.6072 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.6072 × 10000 = 46072
Step 3: Write as a fraction
4.6072 =
46072
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 46072 and 10000.
GCD(46072, 10000) = 8
Divide both the numerator and denominator by the GCD:
46072
10000
=
46072 ÷ 8
10000 ÷ 8
=
5759
1250
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