Converting 47.73152 to a Fraction
Step-by-step explanation of how to convert 47.73152 to a fraction

Result

47.73152 =
149161
3125
Mixed number:
47
2286
3125

Step 1: Identify the number of decimal places

The decimal 47.73152 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.73152 × 100000 = 4773152

Step 3: Write as a fraction

47.73152 =

4773152
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4773152 and 100000.

GCD(4773152, 100000) = 32

Divide both the numerator and denominator by the GCD:

4773152
100000

=

4773152 ÷ 32
100000 ÷ 32

=

149161
3125
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