Converting 4.7625 to a Fraction
Step-by-step explanation of how to convert 4.7625 to a fraction

Result

4.7625 =
381
80
Mixed number:
4
61
80

Step 1: Identify the number of decimal places

The decimal 4.7625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.7625 × 10000 = 47625

Step 3: Write as a fraction

4.7625 =

47625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47625 and 10000.

GCD(47625, 10000) = 125

Divide both the numerator and denominator by the GCD:

47625
10000

=

47625 ÷ 125
10000 ÷ 125

=

381
80
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