Converting 5.1758 to a Fraction
Step-by-step explanation of how to convert 5.1758 to a fraction

Result

5.1758 =
25879
5000
Mixed number:
5
879
5000

Step 1: Identify the number of decimal places

The decimal 5.1758 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1758 × 10000 = 51758

Step 3: Write as a fraction

5.1758 =

51758
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51758 and 10000.

GCD(51758, 10000) = 2

Divide both the numerator and denominator by the GCD:

51758
10000

=

51758 ÷ 2
10000 ÷ 2

=

25879
5000
Related Conversions
Other decimal to fraction conversions you might find useful