Converting 37.958464 to a Fraction
Step-by-step explanation of how to convert 37.958464 to a fraction

Result

37.958464 =
593101
15625
Mixed number:
37
14976
15625

Step 1: Identify the number of decimal places

The decimal 37.958464 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

37.958464 × 1000000 = 37958464

Step 3: Write as a fraction

37.958464 =

37958464
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37958464 and 1000000.

GCD(37958464, 1000000) = 64

Divide both the numerator and denominator by the GCD:

37958464
1000000

=

37958464 ÷ 64
1000000 ÷ 64

=

593101
15625
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