Converting 9.9975 to a Fraction
Step-by-step explanation of how to convert 9.9975 to a fraction

Result

9.9975 =
3999
400
Mixed number:
9
399
400

Step 1: Identify the number of decimal places

The decimal 9.9975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

9.9975 × 10000 = 99975

Step 3: Write as a fraction

9.9975 =

99975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 99975 and 10000.

GCD(99975, 10000) = 25

Divide both the numerator and denominator by the GCD:

99975
10000

=

99975 ÷ 25
10000 ÷ 25

=

3999
400
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