Converting 40.744 to a Fraction
Step-by-step explanation of how to convert 40.744 to a fraction
Result
40.744 =
5093
125
Mixed number:
40
93
125
Step 1: Identify the number of decimal places
The decimal 40.744 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.744 × 1000 = 40744
Step 3: Write as a fraction
40.744 =
40744
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40744 and 1000.
GCD(40744, 1000) = 8
Divide both the numerator and denominator by the GCD:
40744
1000
=
40744 ÷ 8
1000 ÷ 8
=
5093
125
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