Converting 47.5456 to a Fraction
Step-by-step explanation of how to convert 47.5456 to a fraction

Result

47.5456 =
29716
625
Mixed number:
47
341
625

Step 1: Identify the number of decimal places

The decimal 47.5456 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.5456 × 10000 = 475456

Step 3: Write as a fraction

47.5456 =

475456
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 475456 and 10000.

GCD(475456, 10000) = 16

Divide both the numerator and denominator by the GCD:

475456
10000

=

475456 ÷ 16
10000 ÷ 16

=

29716
625
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