Converting 40.9384 to a Fraction
Step-by-step explanation of how to convert 40.9384 to a fraction

Result

40.9384 =
51173
1250
Mixed number:
40
1173
1250

Step 1: Identify the number of decimal places

The decimal 40.9384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.9384 × 10000 = 409384

Step 3: Write as a fraction

40.9384 =

409384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409384 and 10000.

GCD(409384, 10000) = 8

Divide both the numerator and denominator by the GCD:

409384
10000

=

409384 ÷ 8
10000 ÷ 8

=

51173
1250
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