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(4)/(5)÷8=

45÷8= \frac{4}{5} \div 8=

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Q. 45÷8= \frac{4}{5} \div 8=
  1. Understanding Division: First, we need to understand that dividing by a number is the same as multiplying by its reciprocal.\newlineSo, (45)÷8(\frac{4}{5}) \div 8 is the same as (45)×(18)(\frac{4}{5}) \times (\frac{1}{8}).
  2. Multiplying Numerators and Denominators: Now, we multiply the numerators together and the denominators together.\newline(4×1)/(5×8)=4/40(4 \times 1) / (5 \times 8) = 4 / 40.
  3. Simplifying the Fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 44. \newline440=(44)/(404)=110.\frac{4}{40} = \left(\frac{4}{4}\right) / \left(\frac{40}{4}\right) = \frac{1}{10}.

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