This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Ili kutatua tatizo hili, tutabadilisha nambari zote mbili kuwa nambari za base ten, kisha tufanye mgawanyiko, na hatimaye tubadilishe jibu kurudi kwenye base five. Step 1: Badilisha 204_five kuwa base ten. 204_five = (2 × 5^2) + (0 × 5^1) + (4 × 5^0) = (2 × 25) + (0 × 5) + (4 × 1) = 50 + 0 + 4 = 54_ten Step 2: Badilisha 14_five kuwa base ten. 14_five = (1 × 5^1) + (4 × 5^0) = (1 × 5) + (4 × 1) = 5 + 4 = 9_ten Step 3: Fanya mgawanyiko katika base ten. 54_ten ÷ 9_ten = 6_ten Step 4: Badilisha jibu 6_ten kurudi kwenye base five. Tunagawanya 6 kwa 5 na kuandika mabaki: 6 ÷ 5 = 1 baki 1 1 ÷ 5 = 0 baki 1 Tukisoma mabaki kutoka chini kwenda juu, tunapata 11_five. Hivyo, 204_five ÷ 14_five = 11_five Tuma swali linalofuata 📸