Converting 41.784 to a Fraction
Step-by-step explanation of how to convert 41.784 to a fraction

Result

41.784 =
5223
125
Mixed number:
41
98
125

Step 1: Identify the number of decimal places

The decimal 41.784 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

41.784 × 1000 = 41784

Step 3: Write as a fraction

41.784 =

41784
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41784 and 1000.

GCD(41784, 1000) = 8

Divide both the numerator and denominator by the GCD:

41784
1000

=

41784 ÷ 8
1000 ÷ 8

=

5223
125
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