Converting 37.86952 to a Fraction
Step-by-step explanation of how to convert 37.86952 to a fraction

Result

37.86952 =
473369
12500
Mixed number:
37
10869
12500

Step 1: Identify the number of decimal places

The decimal 37.86952 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

37.86952 × 100000 = 3786952

Step 3: Write as a fraction

37.86952 =

3786952
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3786952 and 100000.

GCD(3786952, 100000) = 8

Divide both the numerator and denominator by the GCD:

3786952
100000

=

3786952 ÷ 8
100000 ÷ 8

=

473369
12500
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