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1(2)/(7)÷(-2(1)/(4))=

127÷(−214)= 1 \frac{2}{7} \div\left(-2 \frac{1}{4}\right)=

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Multiply and divide decimals by powers of tenright chevron icon

Full solution

Q. 127÷(−214)= 1 \frac{2}{7} \div\left(-2 \frac{1}{4}\right)=
  1. Convert to Improper Fractions: Convert mixed numbers to improper fractions.\newline127=7×1+27=971\frac{2}{7} = \frac{7\times1 + 2}{7} = \frac{9}{7}\newline−214=−4×2−14=−94-2\frac{1}{4} = \frac{-4\times2 - 1}{4} = \frac{-9}{4}
  2. Divide by Reciprocal: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction.\newline(97)÷(−94)=(97)×(−49)(\frac{9}{7}) \div (\frac{-9}{4}) = (\frac{9}{7}) \times (\frac{-4}{9})
  3. Simplify Expression: Simplify the expression by canceling out common factors.\newlineThe 9s9s cancel out, so we get:\newline(17)×(−41)=−47(\frac{1}{7}) \times (\frac{-4}{1}) = \frac{-4}{7}
  4. Check for Simplification: Check the result for any possible simplification.\newline−47-\frac{4}{7} cannot be simplified further.

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