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Evaluate. (2)/(9)÷(9)/(8)=

Evaluate.\newline29÷98= \frac{2}{9} \div \frac{9}{8}=

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Divide whole numbers and unit fractionsright chevron icon

Full solution

Q. Evaluate.\newline29÷98= \frac{2}{9} \div \frac{9}{8}=
  1. Invert and Multiply: Invert the divisor and multiply.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of (98)(\frac{9}{8}) is (89)(\frac{8}{9}).\newlineCalculation: (29)×(89)(\frac{2}{9}) \times (\frac{8}{9})
  2. Multiply Numerators and Denominators: Multiply the numerators and denominators separately.\newlineMultiply the numerators: 2×8=162 \times 8 = 16\newlineMultiply the denominators: 9×9=819 \times 9 = 81\newlineCalculation: 1681\frac{16}{81}
  3. Simplify the Fraction: Simplify the fraction if possible.\newlineCheck if 1616 and 8181 have any common factors. They do not, so the fraction is already in its simplest form.\newlineCalculation: 1681\frac{16}{81} remains unchanged.

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