Converting 47.896 to a Fraction
Step-by-step explanation of how to convert 47.896 to a fraction

Result

47.896 =
5987
125
Mixed number:
47
112
125

Step 1: Identify the number of decimal places

The decimal 47.896 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

47.896 × 1000 = 47896

Step 3: Write as a fraction

47.896 =

47896
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47896 and 1000.

GCD(47896, 1000) = 8

Divide both the numerator and denominator by the GCD:

47896
1000

=

47896 ÷ 8
1000 ÷ 8

=

5987
125
Related Conversions
Other decimal to fraction conversions you might find useful