Converting 9.745 to a Fraction
Step-by-step explanation of how to convert 9.745 to a fraction

Result

9.745 =
1949
200
Mixed number:
9
149
200

Step 1: Identify the number of decimal places

The decimal 9.745 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

9.745 × 1000 = 9745

Step 3: Write as a fraction

9.745 =

9745
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9745 and 1000.

GCD(9745, 1000) = 5

Divide both the numerator and denominator by the GCD:

9745
1000

=

9745 ÷ 5
1000 ÷ 5

=

1949
200
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