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(2)/(9)÷4=

29÷4= \frac{2}{9} \div 4=

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Q. 29÷4= \frac{2}{9} \div 4=
  1. Understanding division of a fraction: Understand the division of a fraction by a whole number. To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. Reciprocal of 44 is 14\frac{1}{4}.
  2. Multiplying the fraction by the reciprocal: Multiply the fraction (29)(\frac{2}{9}) by the reciprocal of 44 (14)(\frac{1}{4}).29×14=2×19×4\frac{2}{9} \times \frac{1}{4} = \frac{2 \times 1}{9 \times 4}
  3. Performing the multiplication: Perform the multiplication.\newline2×1=22 \times 1 = 2\newline9×4=369 \times 4 = 36\newlineSo, (2/9)×(1/4)=2/36(2/9) \times (1/4) = 2/36
  4. Simplifying the fraction: Simplify the fraction if possible. \newline236\frac{2}{36} can be simplified by dividing both numerator and denominator by the greatest common divisor, which is 22.\newline236=(2/2)(36/2)=118\frac{2}{36} = \frac{(2/2)}{(36/2)} = \frac{1}{18}