Converting 47.9744 to a Fraction
Step-by-step explanation of how to convert 47.9744 to a fraction
Result
47.9744 =
29984
625
Mixed number:
47
609
625
Step 1: Identify the number of decimal places
The decimal 47.9744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
47.9744 × 10000 = 479744
Step 3: Write as a fraction
47.9744 =
479744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 479744 and 10000.
GCD(479744, 10000) = 16
Divide both the numerator and denominator by the GCD:
479744
10000
=
479744 ÷ 16
10000 ÷ 16
=
29984
625
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