Converting 0.47624 to a Fraction
Step-by-step explanation of how to convert 0.47624 to a fraction

Result

0.47624 =
5953
12500

Step 1: Identify the number of decimal places

The decimal 0.47624 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.47624 × 100000 = 47624

Step 3: Write as a fraction

0.47624 =

47624
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47624 and 100000.

GCD(47624, 100000) = 8

Divide both the numerator and denominator by the GCD:

47624
100000

=

47624 ÷ 8
100000 ÷ 8

=

5953
12500
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