Converting 4.7442 to a Fraction
Step-by-step explanation of how to convert 4.7442 to a fraction
Result
4.7442 =
23721
5000
Mixed number:
4
3721
5000
Step 1: Identify the number of decimal places
The decimal 4.7442 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.7442 × 10000 = 47442
Step 3: Write as a fraction
4.7442 =
47442
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47442 and 10000.
GCD(47442, 10000) = 2
Divide both the numerator and denominator by the GCD:
47442
10000
=
47442 ÷ 2
10000 ÷ 2
=
23721
5000
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