Converting 37.744928 to a Fraction
Step-by-step explanation of how to convert 37.744928 to a fraction

Result

37.744928 =
1179529
31250
Mixed number:
37
23279
31250

Step 1: Identify the number of decimal places

The decimal 37.744928 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

37.744928 × 1000000 = 37744928

Step 3: Write as a fraction

37.744928 =

37744928
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37744928 and 1000000.

GCD(37744928, 1000000) = 32

Divide both the numerator and denominator by the GCD:

37744928
1000000

=

37744928 ÷ 32
1000000 ÷ 32

=

1179529
31250
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