Converting 39.7784 to a Fraction
Step-by-step explanation of how to convert 39.7784 to a fraction
Result
39.7784 =
49723
1250
Mixed number:
39
973
1250
Step 1: Identify the number of decimal places
The decimal 39.7784 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
39.7784 × 10000 = 397784
Step 3: Write as a fraction
39.7784 =
397784
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 397784 and 10000.
GCD(397784, 10000) = 8
Divide both the numerator and denominator by the GCD:
397784
10000
=
397784 ÷ 8
10000 ÷ 8
=
49723
1250
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