![Evaluate the following: -4 of [(-4 + -5 ÷ 15)] + -3 - 4 + 6 and 84 ÷ -7 + 3 - 5](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1786454404230-8228074bbc78dbc3.png&w=3840&q=75)
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 ni utatuzi wa swali lako la kwanza, kwa kuzingatia picha mpya uliyotuma: 1) Tathmini yafuatayo: -4 of [(-4 + -5 ÷ 15)] + -3 - 4 + 684 ÷ -7 + 3 - 5 Step 1: Tathmini namba (numerator). Kwanza, hesabu ndani ya mabano ya mraba, ukianza na mgawanyiko: -5 ÷ 15 = -(5)/(15) = -(1)/(3) Kisha, fanya nyongeza ndani ya mabano: (-4 + -(1)/(3)) = -4 - (1)/(3) = -(12)/(3) - (1)/(3) = -(13)/(3) Sasa, "of" inamaanisha kuzidisha: -4 × (-(13)/(3)) = (52)/(3) Mwishowe, fanya nyongeza na kutoa kutoka kushoto kwenda kulia: (52)/(3) + (-3) - 4 + 6 = (52)/(3) - 3 - 4 + 6 = (52)/(3) - 7 + 6 = (52)/(3) - 1 Ili kutoa, badilisha 1 kuwa sehemu na denominata 3: (52)/(3) - (3)/(3) = (49)/(3) Hivyo, namba ni (49)/(3). Step 2: Tathmini denominata. Kwanza, fanya mgawanyiko: 84 ÷ -7 = -12 Sasa, fanya nyongeza na kutoa kutoka kushoto kwenda kulia: -12 + 3 - 5 = -9 - 5 = -14 Hivyo, denominata ni -14. Step 3: Gawanya namba kwa denominata. (49)/(3)-14 Ili kugawanya sehemu kwa nambari, zidisha sehemu hiyo kwa kinyume cha nambari: (49)/(3) × (1)/(-14) = -(49)/(3 × 14) = -(49)/(42) Rahisisha sehemu kwa kugawanya namba na denominata kwa 7: -(49 ÷ 7)/(42 ÷ 7) = -(7)/(6) Jibu ni -(7)/(6). 3 done, 2 left today. You're making progress.