Converting 37.83848 to a Fraction
Step-by-step explanation of how to convert 37.83848 to a fraction

Result

37.83848 =
472981
12500
Mixed number:
37
10481
12500

Step 1: Identify the number of decimal places

The decimal 37.83848 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

37.83848 × 100000 = 3783848

Step 3: Write as a fraction

37.83848 =

3783848
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3783848 and 100000.

GCD(3783848, 100000) = 8

Divide both the numerator and denominator by the GCD:

3783848
100000

=

3783848 ÷ 8
100000 ÷ 8

=

472981
12500
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