Converting 37.78152 to a Fraction
Step-by-step explanation of how to convert 37.78152 to a fraction

Result

37.78152 =
472269
12500
Mixed number:
37
9769
12500

Step 1: Identify the number of decimal places

The decimal 37.78152 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

37.78152 × 100000 = 3778152

Step 3: Write as a fraction

37.78152 =

3778152
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3778152 and 100000.

GCD(3778152, 100000) = 8

Divide both the numerator and denominator by the GCD:

3778152
100000

=

3778152 ÷ 8
100000 ÷ 8

=

472269
12500
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