Converting 3.9772 to a Fraction
Step-by-step explanation of how to convert 3.9772 to a fraction

Result

3.9772 =
9943
2500
Mixed number:
3
2443
2500

Step 1: Identify the number of decimal places

The decimal 3.9772 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.9772 × 10000 = 39772

Step 3: Write as a fraction

3.9772 =

39772
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39772 and 10000.

GCD(39772, 10000) = 4

Divide both the numerator and denominator by the GCD:

39772
10000

=

39772 ÷ 4
10000 ÷ 4

=

9943
2500
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