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Let’s check out your problem:

2(1)/(5)÷(4)/(-9)=

215÷4−9= 2 \frac{1}{5} \div \frac{4}{-9}=

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Full solution

Q. 215÷4−9= 2 \frac{1}{5} \div \frac{4}{-9}=
  1. Identify Numbers and Operation: Identify the numbers and the operation.\newlineWe got 2(15)2\left(\frac{1}{5}\right) and we're dividing it by (4−9)\left(\frac{4}{-9}\right).
  2. Rewrite as Multiplication: Rewrite the division as multiplication by the reciprocal.\newlineSo, 2(15)÷(4−9)2\left(\frac{1}{5}\right) \div \left(\frac{4}{-9}\right) becomes 2(15)×(−94)2\left(\frac{1}{5}\right) \times \left(\frac{-9}{4}\right).
  3. Multiply Numerators and Denominators: Multiply the numerators and denominators separately.\newlineThat's 2×1×−92 \times 1 \times -9 for the top and 5×45 \times 4 for the bottom.
  4. Do the Multiplication: Do the multiplication.\newlineSo, 2×1×−9=−182 \times 1 \times -9 = -18 and 5×4=205 \times 4 = 20.
  5. Put It Together: Put it all together.\newlineWe got −1820.-\frac{18}{20}.
  6. Simplify the Fraction: Simplify the fraction. \newline−1820-\frac{18}{20} can be reduced to −910-\frac{9}{10}.

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