Converting 40.3544 to a Fraction
Step-by-step explanation of how to convert 40.3544 to a fraction

Result

40.3544 =
50443
1250
Mixed number:
40
443
1250

Step 1: Identify the number of decimal places

The decimal 40.3544 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.3544 × 10000 = 403544

Step 3: Write as a fraction

40.3544 =

403544
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 403544 and 10000.

GCD(403544, 10000) = 8

Divide both the numerator and denominator by the GCD:

403544
10000

=

403544 ÷ 8
10000 ÷ 8

=

50443
1250
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