Why parentheses change the answer
A basic calculator reads 1 ÷ 2 + 1 ÷ 4 strictly left to right: (0.5 + 1) ÷ 4 = 0.375. The intended sum — one half plus one quarter — is 0.75, and parentheses are what protect it: (1 ÷ 2) + (1 ÷ 4). Every fraction typed as division needs its own parentheses the moment it sits inside a larger expression.
The same care scales to complex fractions. (1/2)/(3/4) — one half divided by three quarters — is (1 ÷ 2) ÷ (3 ÷ 4) = 0.5 ÷ 0.75 = 0.666…, which is 2/3. Without the parentheses the calculator computes 1 ÷ 2 ÷ 3 ÷ 4, a completely different — and much smaller — number. When the parentheses start piling up, a fraction-native calculator (like the one above) reads the notation you meant.
See why (1/2)/(3/4) is keep-change-flip