Converting 0.57824 to a Fraction
Step-by-step explanation of how to convert 0.57824 to a fraction

Result

0.57824 =
1807
3125

Step 1: Identify the number of decimal places

The decimal 0.57824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.57824 × 100000 = 57824

Step 3: Write as a fraction

0.57824 =

57824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 57824 and 100000.

GCD(57824, 100000) = 32

Divide both the numerator and denominator by the GCD:

57824
100000

=

57824 ÷ 32
100000 ÷ 32

=

1807
3125
Related Conversions
Other decimal to fraction conversions you might find useful