Converting 4.7184 to a Fraction
Step-by-step explanation of how to convert 4.7184 to a fraction

Result

4.7184 =
2949
625
Mixed number:
4
449
625

Step 1: Identify the number of decimal places

The decimal 4.7184 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.7184 × 10000 = 47184

Step 3: Write as a fraction

4.7184 =

47184
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47184 and 10000.

GCD(47184, 10000) = 16

Divide both the numerator and denominator by the GCD:

47184
10000

=

47184 ÷ 16
10000 ÷ 16

=

2949
625
Related Conversions
Other decimal to fraction conversions you might find useful