Converting 5.8728 to a Fraction
Step-by-step explanation of how to convert 5.8728 to a fraction

Result

5.8728 =
7341
1250
Mixed number:
5
1091
1250

Step 1: Identify the number of decimal places

The decimal 5.8728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.8728 × 10000 = 58728

Step 3: Write as a fraction

5.8728 =

58728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 58728 and 10000.

GCD(58728, 10000) = 8

Divide both the numerator and denominator by the GCD:

58728
10000

=

58728 ÷ 8
10000 ÷ 8

=

7341
1250
Related Conversions
Other decimal to fraction conversions you might find useful