Converting 47.74976 to a Fraction
Step-by-step explanation of how to convert 47.74976 to a fraction

Result

47.74976 =
149218
3125
Mixed number:
47
2343
3125

Step 1: Identify the number of decimal places

The decimal 47.74976 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.74976 × 100000 = 4774976

Step 3: Write as a fraction

47.74976 =

4774976
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4774976 and 100000.

GCD(4774976, 100000) = 32

Divide both the numerator and denominator by the GCD:

4774976
100000

=

4774976 ÷ 32
100000 ÷ 32

=

149218
3125
Related Conversions
Other decimal to fraction conversions you might find useful