Converting 3.6625 to a Fraction
Step-by-step explanation of how to convert 3.6625 to a fraction

Result

3.6625 =
293
80
Mixed number:
3
53
80

Step 1: Identify the number of decimal places

The decimal 3.6625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.6625 × 10000 = 36625

Step 3: Write as a fraction

3.6625 =

36625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36625 and 10000.

GCD(36625, 10000) = 125

Divide both the numerator and denominator by the GCD:

36625
10000

=

36625 ÷ 125
10000 ÷ 125

=

293
80
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