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Q5. भाग दी- (i) 2/3 ÷ 8/10 (ii) 7/11 ÷ 5/8 Q6. दशमलव प्रसार ज्ञात करी- (i) 3/8 => (ii) 7/12 => (iii) 13/25 =>

Mathematics

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Q5: भागा दो (Divide)

i)

  1. To divide by a fraction, multiply by its reciprocal.

    23÷810=23×108\frac{2}{3} \div \frac{8}{10} = \frac{2}{3} \times \frac{10}{8}
  2. Multiply the numerators and the denominators, then simplify.

    2×103×8=2024\frac{2 \times 10}{3 \times 8} = \frac{20}{24}
  3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4.

    20÷424÷4=56\frac{20 \div 4}{24 \div 4} = \frac{5}{6}

    The answer is 56\boxed{\frac{5}{6}}.

    ii)

  4. To divide by a fraction, multiply by its reciprocal.

    711÷58=711×85\frac{7}{11} \div \frac{5}{8} = \frac{7}{11} \times \frac{8}{5}
  5. Multiply the numerators and the denominators.

    7×811×5=5655\frac{7 \times 8}{11 \times 5} = \frac{56}{55}

    The answer is 5655\boxed{\frac{56}{55}}.

    Q6: दशमलव प्रसार ज्ञात करो (Find the decimal expansion)

    i)

  6. Divide the numerator by the denominator.

    38=3÷8\frac{3}{8} = 3 \div 8
  7. Perform the division.

    3÷8=0.3753 \div 8 = 0.375

    The decimal expansion is 0.375\boxed{0.375}.

    ii)

  8. Divide the numerator by the denominator.

    712=7÷12\frac{7}{12} = 7 \div 12
  9. Perform the division.

    7÷12=0.58333...7 \div 12 = 0.58333...

    The decimal expansion is 0.583‾\boxed{0.58\overline{3}}.

    iii)

  10. Divide the numerator by the denominator.

    1325=13÷25\frac{13}{25} = 13 \div 25
  11. Perform the division.

    13÷25=0.5213 \div 25 = 0.52

    The decimal expansion is 0.52\boxed{0.52}.

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