Converting 48.9744 to a Fraction
Step-by-step explanation of how to convert 48.9744 to a fraction
Result
48.9744 =
30609
625
Mixed number:
48
609
625
Step 1: Identify the number of decimal places
The decimal 48.9744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
48.9744 × 10000 = 489744
Step 3: Write as a fraction
48.9744 =
489744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 489744 and 10000.
GCD(489744, 10000) = 16
Divide both the numerator and denominator by the GCD:
489744
10000
=
489744 ÷ 16
10000 ÷ 16
=
30609
625
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