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ടീച്ചർ ഒരു പ്രത്യേക വിദ്യാർത്ഥിയായി മാറുന്നു.

Arithmetic · Arithmetic

Evaluate 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6

\frac{1}{6} + \frac{2}{6} + \frac{3}{6} + \frac{4}{6} + \frac{5}{6} + \frac{6}{6}

പടിയിലൂടെ

  1. 1 \cdot 1 \cdot \frac{1}{6} + 2 \cdot 1 \cdot \frac{1}{6} + 3 \cdot 1 \cdot \frac{1}{6} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6} = \frac{1}{6} + 2 \cdot 1 \cdot \frac{1}{6} + 3 \cdot 1 \cdot \frac{1}{6} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6}

    Multiply: 1·1(1/6) = 1/6.

  2. \frac{1}{6} + 2 \cdot 1 \cdot \frac{1}{6} + 3 \cdot 1 \cdot \frac{1}{6} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6} = \frac{1}{6} + \frac{1}{3} + 3 \cdot 1 \cdot \frac{1}{6} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6}

    Multiply: 2·1(1/6) = 1/3.

  3. \frac{1}{6} + \frac{1}{3} + 3 \cdot 1 \cdot \frac{1}{6} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6} = \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6}

    Multiply: 3·1(1/6) = 1/2.

  4. \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + 4 \cdot 1 \cdot \frac{1}{6} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6} = \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + \frac{2}{3} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6}

    Multiply: 4·1(1/6) = 2/3.

  5. \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + \frac{2}{3} + 5 \cdot 1 \cdot \frac{1}{6} + 6 \cdot 1 \cdot \frac{1}{6} = \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + \frac{2}{3} + \frac{5}{6} + 6 \cdot 1 \cdot \frac{1}{6}

    Multiply: 5·1(1/6) = 5/6.

  6. \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + \frac{2}{3} + \frac{5}{6} + 6 \cdot 1 \cdot \frac{1}{6} = \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + \frac{2}{3} + \frac{5}{6} + 1

    Multiply: 6·1(1/6) = 1.

  7. \frac{1}{6} + \frac{1}{3} + \frac{1}{2} + \frac{2}{3} + \frac{5}{6} + 1 = 1 \cdot \frac{1}{6} + \frac{2}{6} + \frac{3}{6} + \frac{4}{6} + \frac{5}{6} + \frac{6}{6}

    Rewrite every fraction over the common denominator 6.

  8. 1 \cdot \frac{1}{6} + \frac{2}{6} + \frac{3}{6} + \frac{4}{6} + \frac{5}{6} + \frac{6}{6} = \frac{7}{2}

    Add: 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 7/2.

ഉത്തരം വെളിപ്പെടുത്തുക
\frac{7}{2}