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Brian irons (2)/(9) of his shirt in 3(3)/(5) minutes. Brian irons at a constant ra At this rate, how much of his shirt does he iron each minute?

Brian irons 29 \frac{2}{9} of his shirt in 335 3 \frac{3}{5} minutes. Brian irons at a constant ra At this rate, how much of his shirt does he iron each minute?

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Full solution

Q. Brian irons 29 \frac{2}{9} of his shirt in 335 3 \frac{3}{5} minutes. Brian irons at a constant ra At this rate, how much of his shirt does he iron each minute?
  1. Convert to Improper Fraction: Brian irons 29\frac{2}{9} of his shirt in 3 353\,\frac{3}{5} minutes.\newlineConvert mixed number to improper fraction: 3 35=(3×5+3)5=1853\,\frac{3}{5} = \frac{(3\times5 + 3)}{5} = \frac{18}{5} minutes.
  2. Find Ironing Rate: Find Brian's ironing rate per minute.\newlineRate = Amount ironedTime taken\frac{\text{Amount ironed}}{\text{Time taken}}\newlineRate = 29185\frac{\frac{2}{9}}{\frac{18}{5}}
  3. Perform Division: Perform the division by multiplying by the reciprocal.\newlineRate = (29)×(518)(\frac{2}{9}) \times (\frac{5}{18})
  4. Simplify Fraction: Simplify the fraction.\newlineRate = (2×5)/(9×18)(2 \times 5) / (9 \times 18)\newlineRate = 10/16210 / 162
  5. Reduce to Simplest Form: Reduce the fraction to its simplest form.\newlineRate = 116.2\frac{1}{16.2}

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