Converting 0.47725 to a Fraction
Step-by-step explanation of how to convert 0.47725 to a fraction

Result

0.47725 =
1909
4000

Step 1: Identify the number of decimal places

The decimal 0.47725 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.47725 × 100000 = 47725

Step 3: Write as a fraction

0.47725 =

47725
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47725 and 100000.

GCD(47725, 100000) = 25

Divide both the numerator and denominator by the GCD:

47725
100000

=

47725 ÷ 25
100000 ÷ 25

=

1909
4000
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