Converting 37.75648 to a Fraction
Step-by-step explanation of how to convert 37.75648 to a fraction

Result

37.75648 =
117989
3125
Mixed number:
37
2364
3125

Step 1: Identify the number of decimal places

The decimal 37.75648 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

37.75648 × 100000 = 3775648

Step 3: Write as a fraction

37.75648 =

3775648
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3775648 and 100000.

GCD(3775648, 100000) = 32

Divide both the numerator and denominator by the GCD:

3775648
100000

=

3775648 ÷ 32
100000 ÷ 32

=

117989
3125
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