Converting 41.744 to a Fraction
Step-by-step explanation of how to convert 41.744 to a fraction

Result

41.744 =
5218
125
Mixed number:
41
93
125

Step 1: Identify the number of decimal places

The decimal 41.744 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

41.744 × 1000 = 41744

Step 3: Write as a fraction

41.744 =

41744
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41744 and 1000.

GCD(41744, 1000) = 8

Divide both the numerator and denominator by the GCD:

41744
1000

=

41744 ÷ 8
1000 ÷ 8

=

5218
125
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