Converting 3.9625 to a Fraction
Step-by-step explanation of how to convert 3.9625 to a fraction

Result

3.9625 =
317
80
Mixed number:
3
77
80

Step 1: Identify the number of decimal places

The decimal 3.9625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.9625 × 10000 = 39625

Step 3: Write as a fraction

3.9625 =

39625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39625 and 10000.

GCD(39625, 10000) = 125

Divide both the numerator and denominator by the GCD:

39625
10000

=

39625 ÷ 125
10000 ÷ 125

=

317
80
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