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(5)/(8)÷6=

58÷6= \frac{5}{8} \div 6=

Full solution

Q. 58÷6= \frac{5}{8} \div 6=
  1. Understand the problem: Understand the problem.\newlineWe need to divide the fraction 58\frac{5}{8} by the number 66. This can be written as (58)÷6\left(\frac{5}{8}\right) \div 6.
  2. Rewrite as multiplication: Rewrite the division of fractions as multiplication.\newlineDividing by a number is the same as multiplying by its reciprocal. The reciprocal of 66 is 16\frac{1}{6}. So, 58÷6\frac{5}{8} \div 6 is the same as 58×16\frac{5}{8} \times \frac{1}{6}.
  3. Multiply numerators: Multiply the numerators.\newlineMultiply the numerators of the two fractions. The numerator of the first fraction is 55, and the numerator of the second fraction is 11. So, 5×1=55 \times 1 = 5.
  4. Multiply denominators: Multiply the denominators.\newlineMultiply the denominators of the two fractions. The denominator of the first fraction is 88, and the denominator of the second fraction is 66. So, 8×6=488 \times 6 = 48.
  5. Write final fraction: Write the result as a fraction.\newlineThe result of the multiplication is the fraction 548\frac{5}{48}, which is the final answer.

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