Converting 47.461824 to a Fraction
Step-by-step explanation of how to convert 47.461824 to a fraction

Result

47.461824 =
741591
15625
Mixed number:
47
7216
15625

Step 1: Identify the number of decimal places

The decimal 47.461824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

47.461824 × 1000000 = 47461824

Step 3: Write as a fraction

47.461824 =

47461824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47461824 and 1000000.

GCD(47461824, 1000000) = 64

Divide both the numerator and denominator by the GCD:

47461824
1000000

=

47461824 ÷ 64
1000000 ÷ 64

=

741591
15625
Related Conversions
Other decimal to fraction conversions you might find useful