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SECTION A (10 Marks) Answer all questions in this section. For each of the following questions, work out the answer in the space provided showing all work clearly.

Mathematics

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Answers

4 parts
a
86
b
1222
c
900.9
d

4912\frac{49}{12}

Step-by-step solution

12 steps

Haya, nitakusaidia kutatua maswali haya.

Part a· 2 steps

  1. Ongeza namba za mamoja.

    5+1=65 + 1 = 6
  2. Ongeza namba za makumi.

    2+6=82 + 6 = 8

    Jibu ni:

    86\boxed{86}

Part b1222

  1. Toa namba za mamoja.

    2−0=22 - 0 = 2
  2. Toa namba za makumi.

    5−3=25 - 3 = 2
  3. Toa namba za mamia.

    5−3=25 - 3 = 2
  4. Toa namba za maelfu.

    2−1=12 - 1 = 1

    Jibu ni:

    1222\boxed{1222}

Part c900.9

  1. Zidisha 27.3 kwa 3.

    27.3×3=81.927.3 \times 3 = 81.9
  2. Zidisha 27.3 kwa 30.

    27.3×30=819.027.3 \times 30 = 819.0
  3. Ongeza matokeo ya hatua ya 1 na hatua ya 2.

    81.9+819.0=900.981.9 + 819.0 = 900.9

    Jibu ni:

    900.9\boxed{900.9}

Part d

4912\frac{49}{12}

  1. Tafuta kigawo kidogo cha kawaida (LCM) cha madhehebu 4 na 3.

    LCM ya 4 na 3 ni 12.

  2. Badilisha sehemu kuwa na madhehebu ya kawaida.

    74=7×34×3=2112\frac{7}{4} = \frac{7 \times 3}{4 \times 3} = \frac{21}{12} 73=7×43×4=2812\frac{7}{3} = \frac{7 \times 4}{3 \times 4} = \frac{28}{12}
  3. Ongeza sehemu zilizobadilishwa.

    2112+2812=21+2812=4912\frac{21}{12} + \frac{28}{12} = \frac{21 + 28}{12} = \frac{49}{12}

    Jibu ni:

    4912\boxed{\frac{49}{12}}
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