Converting 40.0956 to a Fraction
Step-by-step explanation of how to convert 40.0956 to a fraction

Result

40.0956 =
100239
2500
Mixed number:
40
239
2500

Step 1: Identify the number of decimal places

The decimal 40.0956 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.0956 × 10000 = 400956

Step 3: Write as a fraction

40.0956 =

400956
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 400956 and 10000.

GCD(400956, 10000) = 4

Divide both the numerator and denominator by the GCD:

400956
10000

=

400956 ÷ 4
10000 ÷ 4

=

100239
2500
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