Converting 9.744 to a Fraction
Step-by-step explanation of how to convert 9.744 to a fraction

Result

9.744 =
1218
125
Mixed number:
9
93
125

Step 1: Identify the number of decimal places

The decimal 9.744 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

9.744 × 1000 = 9744

Step 3: Write as a fraction

9.744 =

9744
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9744 and 1000.

GCD(9744, 1000) = 8

Divide both the numerator and denominator by the GCD:

9744
1000

=

9744 ÷ 8
1000 ÷ 8

=

1218
125
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