Converting 37.926 to a Fraction
Step-by-step explanation of how to convert 37.926 to a fraction
Result
37.926 =
18963
500
Mixed number:
37
463
500
Step 1: Identify the number of decimal places
The decimal 37.926 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
37.926 × 1000 = 37926
Step 3: Write as a fraction
37.926 =
37926
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37926 and 1000.
GCD(37926, 1000) = 2
Divide both the numerator and denominator by the GCD:
37926
1000
=
37926 ÷ 2
1000 ÷ 2
=
18963
500
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