Converting 47.24256 to a Fraction
Step-by-step explanation of how to convert 47.24256 to a fraction

Result

47.24256 =
147633
3125
Mixed number:
47
758
3125

Step 1: Identify the number of decimal places

The decimal 47.24256 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.24256 × 100000 = 4724256

Step 3: Write as a fraction

47.24256 =

4724256
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4724256 and 100000.

GCD(4724256, 100000) = 32

Divide both the numerator and denominator by the GCD:

4724256
100000

=

4724256 ÷ 32
100000 ÷ 32

=

147633
3125
Related Conversions
Other decimal to fraction conversions you might find useful