Converting 47.5624 to a Fraction
Step-by-step explanation of how to convert 47.5624 to a fraction

Result

47.5624 =
59453
1250
Mixed number:
47
703
1250

Step 1: Identify the number of decimal places

The decimal 47.5624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.5624 × 10000 = 475624

Step 3: Write as a fraction

47.5624 =

475624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 475624 and 10000.

GCD(475624, 10000) = 8

Divide both the numerator and denominator by the GCD:

475624
10000

=

475624 ÷ 8
10000 ÷ 8

=

59453
1250
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