Converting 29.744 to a Fraction
Step-by-step explanation of how to convert 29.744 to a fraction

Result

29.744 =
3718
125
Mixed number:
29
93
125

Step 1: Identify the number of decimal places

The decimal 29.744 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

29.744 × 1000 = 29744

Step 3: Write as a fraction

29.744 =

29744
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 29744 and 1000.

GCD(29744, 1000) = 8

Divide both the numerator and denominator by the GCD:

29744
1000

=

29744 ÷ 8
1000 ÷ 8

=

3718
125
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