Converting 9.7075 to a Fraction
Step-by-step explanation of how to convert 9.7075 to a fraction

Result

9.7075 =
3883
400
Mixed number:
9
283
400

Step 1: Identify the number of decimal places

The decimal 9.7075 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

9.7075 × 10000 = 97075

Step 3: Write as a fraction

9.7075 =

97075
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 97075 and 10000.

GCD(97075, 10000) = 25

Divide both the numerator and denominator by the GCD:

97075
10000

=

97075 ÷ 25
10000 ÷ 25

=

3883
400
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