Converting 2.5625 to a Fraction
Step-by-step explanation of how to convert 2.5625 to a fraction
Result
2.5625 =
41
16
Mixed number:
2
9
16
Step 1: Identify the number of decimal places
The decimal 2.5625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.5625 × 10000 = 25625
Step 3: Write as a fraction
2.5625 =
25625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 25625 and 10000.
GCD(25625, 10000) = 625
Divide both the numerator and denominator by the GCD:
25625
10000
=
25625 ÷ 625
10000 ÷ 625
=
41
16
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions