Converting 37.8672 to a Fraction
Step-by-step explanation of how to convert 37.8672 to a fraction

Result

37.8672 =
23667
625
Mixed number:
37
542
625

Step 1: Identify the number of decimal places

The decimal 37.8672 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.8672 × 10000 = 378672

Step 3: Write as a fraction

37.8672 =

378672
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 378672 and 10000.

GCD(378672, 10000) = 16

Divide both the numerator and denominator by the GCD:

378672
10000

=

378672 ÷ 16
10000 ÷ 16

=

23667
625
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