Matematika

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2 Jawaban

  • a. 7/35+15/35 = 22/35
    b. 13/3 + 3/4 = 52/12+9/12 = 61/12
    c. 15/20 - 8/20 = 7/20
    d. 3/6 - 2/6 = 1/6

  • [tex]a. \: \frac{1}{5} + \frac{3}{7} = ... \\ \\ = \frac{1 \times 7}{5 \times 7} + \frac{3 \times 5}{7 \times 5} \\ \\ = \frac{7 + 15}{35} \\ \\ = \frac{22}{35} [/tex]

    [tex]b. \: 4\frac{1}{3} + \frac{3}{4} = ... \\ \\ = 4 + ( \frac{1}{3} + \frac{3}{4} ) \\ \\ = 4 + ( \frac{1 \times 4}{3 \times 4} + \frac{3 \times 3}{4 \times 3} ) \\ \\ = 4 + (\frac{4 + 9}{12} ) \\ \\ = 4 + \frac{13}{12} \\ \\ = 4 + 1 \frac{1}{12} \\ \\ = 5 \frac{1}{12} [/tex]

    [tex]c. \: \frac{3}{4} - \frac{2}{5} = ... \\ \\ = \frac{3 \times 5}{4 \times 5} - \frac{2 \times 4}{5 \times 4} \\ \\ = \frac{15 - 8}{20} \\ \\ = \frac{7}{20} [/tex]

    [tex]d. \: \frac{1}{2} - \frac{1}{3} = ... \\ \\ = \frac{1}{2} - \frac{1}{3} \\ \\ = \frac{1 \times 3}{2 \times 3} - \frac{1 \times 2}{3 \times 2} \\ \\ = \frac{3}{6} - \frac{2}{6} \\ \\ = \frac{1}{6} [/tex]