Converting 40.2376 to a Fraction
Step-by-step explanation of how to convert 40.2376 to a fraction
Result
40.2376 =
50297
1250
Mixed number:
40
297
1250
Step 1: Identify the number of decimal places
The decimal 40.2376 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.2376 × 10000 = 402376
Step 3: Write as a fraction
40.2376 =
402376
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 402376 and 10000.
GCD(402376, 10000) = 8
Divide both the numerator and denominator by the GCD:
402376
10000
=
402376 ÷ 8
10000 ÷ 8
=
50297
1250
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