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
Huu hapa utatuzi wa swali la kwanza (d): Step 1: Tafuta Kigawo Kidogo Zaidi cha Pamoja (LCM) cha madhehebu 2, 4, na 6. LCM ya 2, 4, na 6 ni 12. Step 2: Badilisha kila sehemu kuwa sehemu sawa na dhehebu la 12. (1)/(2) = (1 × 6)/(2 × 6) = (6)/(12) (3)/(4) = (3 × 3)/(4 × 3) = (9)/(12) (5)/(6) = (5 × 2)/(6 × 2) = (10)/(12) Step 3: Fanya hesabu ya kujumlisha na kutoa. (6)/(12) - (9)/(12) + (10)/(12) = (6 - 9 + 10)/(12) = (7)/(12) Jibu ni (7)/(12). Huu hapa utatuzi wa swali la pili (d): Step 1: Badilisha namba mchanganyiko kuwa sehemu zisizofaa. 5(4)/(5) = ((5 × 5) + 4)/(5) = (25 + 4)/(5) = (29)/(5) 3(2)/(7) = ((3 × 7) + 2)/(7) = (21 + 2)/(7) = (23)/(7) Step 2: Tafuta Kigawo Kidogo Zaidi cha Pamoja (LCM) cha madhehebu 5 na 7. LCM ya 5 na 7 ni 5 × 7 = 35. Step 3: Badilisha kila sehemu kuwa sehemu sawa na dhehebu la 35. (29)/(5) = (29 × 7)/(5 × 7) = (203)/(35) (23)/(7) = (23 × 5)/(7 × 5) = (115)/(35) Step 4: Fanya hesabu ya kutoa. (203)/(35) - (115)/(35) = (203 - 115)/(35) = (88)/(35) Step 5: Badilisha sehemu isiyofaa kuwa namba mchanganyiko. (88)/(35) = 2(18)/(35) Jibu ni 2(18)/(35). That's 2 down. 3 left today — send the next one.