Converting 2.5724 to a Fraction
Step-by-step explanation of how to convert 2.5724 to a fraction

Result

2.5724 =
6431
2500
Mixed number:
2
1431
2500

Step 1: Identify the number of decimal places

The decimal 2.5724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.5724 × 10000 = 25724

Step 3: Write as a fraction

2.5724 =

25724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 25724 and 10000.

GCD(25724, 10000) = 4

Divide both the numerator and denominator by the GCD:

25724
10000

=

25724 ÷ 4
10000 ÷ 4

=

6431
2500
Related Conversions
Other decimal to fraction conversions you might find useful