Converting 25.78 to a Fraction
Step-by-step explanation of how to convert 25.78 to a fraction

Result

25.78 =
1289
50
Mixed number:
25
39
50

Step 1: Identify the number of decimal places

The decimal 25.78 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

25.78 × 100 = 2578

Step 3: Write as a fraction

25.78 =

2578
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2578 and 100.

GCD(2578, 100) = 2

Divide both the numerator and denominator by the GCD:

2578
100

=

2578 ÷ 2
100 ÷ 2

=

1289
50
Related Conversions
Other decimal to fraction conversions you might find useful