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
Hapa kuna masuluhisho ya maswali yako: 1. (3)/(5) - (1)/(4) Step 1: Tafuta kigawo cha kawaida kidogo (LCM) cha 5 na 4, ambacho ni 20. Badilisha sehemu kuwa na kigawo cha kawaida. (3)/(5) = (3 × 4)/(5 × 4) = (12)/(20) (1)/(4) = (1 × 5)/(4 × 5) = (5)/(20) Step 2: Toa namba za juu (numerators). (12)/(20) - (5)/(20) = (12 - 5)/(20) = (7)/(20) Jibu: (7)/(20) 2. (6)/(8) - (2)/(5) Step 1: Rahisisha sehemu ya kwanza (6)/(8) kuwa (3)/(4). Kisha, tafuta LCM ya 4 na 5, ambayo ni 20. Badilisha sehemu kuwa na kigawo cha kawaida. (3)/(4) = (3 × 5)/(4 × 5) = (15)/(20) (2)/(5) = (2 × 4)/(5 × 4) = (8)/(20) Step 2: Toa namba za juu (numerators). (15)/(20) - (8)/(20) = (15 - 8)/(20) = (7)/(20) Jibu: (7)/(20) 3. (4)/(20) - (3)/(20) Step 1: Sehemu hizi tayari zina kigawo cha kawaida (20). Toa namba za juu (numerators) moja kwa moja. (4)/(20) - (3)/(20) = (4 - 3)/(20) = (1)/(20) Jibu: (1)/(20) 4. (5)/(9) - (2)/(7) Step 1: Tafuta LCM ya 9 na 7, ambayo ni 9 × 7 = 63. Badilisha sehemu kuwa na kigawo cha kawaida. (5)/(9) = (5 × 7)/(9 × 7) = (35)/(63) (2)/(7) = (2 × 9)/(7 × 9) = (18)/(63) Step 2: Toa namba za juu (numerators). (35)/(63) - (18)/(63) = (35 - 18)/(63) = (17)/(63) Jibu: (17)/(63) 5. (8)/(15) - (10)/(30) Step 1: Rahisisha sehemu ya pili (10)/(30) kuwa (1)/(3). Kisha, tafuta LCM ya 15 na 3, ambayo ni 15. Badilisha sehemu kuwa na kigawo cha kawaida. (1)/(3) = (1 × 5)/(3 × 5) = (5)/(15) Step 2: Toa namba za juu (numerators). (8)/(15) - (5)/(15) = (8 - 5)/(15) = (3)/(15) Step 3: Rahisisha jibu. (3)/(15) = (1)/(5) Jibu: (1)/(5) Tuma swali linalofuata 📸