Converting 37.7208 to a Fraction
Step-by-step explanation of how to convert 37.7208 to a fraction

Result

37.7208 =
47151
1250
Mixed number:
37
901
1250

Step 1: Identify the number of decimal places

The decimal 37.7208 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.7208 × 10000 = 377208

Step 3: Write as a fraction

37.7208 =

377208
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 377208 and 10000.

GCD(377208, 10000) = 8

Divide both the numerator and denominator by the GCD:

377208
10000

=

377208 ÷ 8
10000 ÷ 8

=

47151
1250
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