Converting 37.4664 to a Fraction
Step-by-step explanation of how to convert 37.4664 to a fraction

Result

37.4664 =
46833
1250
Mixed number:
37
583
1250

Step 1: Identify the number of decimal places

The decimal 37.4664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.4664 × 10000 = 374664

Step 3: Write as a fraction

37.4664 =

374664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 374664 and 10000.

GCD(374664, 10000) = 8

Divide both the numerator and denominator by the GCD:

374664
10000

=

374664 ÷ 8
10000 ÷ 8

=

46833
1250
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