Converting 40.738 to a Fraction
Step-by-step explanation of how to convert 40.738 to a fraction
Result
40.738 =
20369
500
Mixed number:
40
369
500
Step 1: Identify the number of decimal places
The decimal 40.738 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.738 × 1000 = 40738
Step 3: Write as a fraction
40.738 =
40738
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40738 and 1000.
GCD(40738, 1000) = 2
Divide both the numerator and denominator by the GCD:
40738
1000
=
40738 ÷ 2
1000 ÷ 2
=
20369
500
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