6.25 ... \(\tfrac{25}{4}\)
6.25 = \(\tfrac{25}{4}\)
Method 1: Turn the fraction into a decimal
( frac{25}{4}) means (25 div 4).
(4 imes 6 = 24), so we get (6) and a remainder of (1).
Add a decimal point and a zero: remainder (1) becomes (10).
(10 div 4 = 2) ⇒ write (0.2). New remainder (= 10 - 8 = 2).
Bring down another zero: (20 div 4 = 5) ⇒ write (0.05).
So, (25 div 4 = 6.25).
Method 2: Turn the decimal into a fraction
(6.25 = frac{625}{100}) (because 6.25 has two decimal places).
Divide top and bottom by (25):
( frac{625 div 25}{100 div 25} = frac{25}{4}).
Conclusion: (6.25 = frac{25}{4}). So the correct symbol is “=”.