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-2(1)/(4)÷(-3(1)/(3))=

−214÷(−313)= -2 \frac{1}{4} \div\left(-3 \frac{1}{3}\right)=

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Full solution

Q. −214÷(−313)= -2 \frac{1}{4} \div\left(-3 \frac{1}{3}\right)=
  1. Convert to Improper Fractions: First, let's convert the mixed numbers to improper fractions.\newline−214-2\frac{1}{4} becomes −94-\frac{9}{4} and −313-3\frac{1}{3} becomes −103-\frac{10}{3}.
  2. Divide Fractions: Now, we divide the fractions by multiplying the first fraction by the reciprocal of the second fraction.\newlineSo, (−94)÷(−103)(-\frac{9}{4}) \div (-\frac{10}{3}) becomes (−94)×(−310)(-\frac{9}{4}) \times (-\frac{3}{10}).
  3. Multiply Numerators and Denominators: Next, we multiply the numerators and the denominators.\newline(−9)×(−3)=27(-9) \times (-3) = 27 and 4×10=404 \times 10 = 40.\newlineSo, (−94)×(−310)=2740(-\frac{9}{4}) \times (-\frac{3}{10}) = \frac{27}{40}.
  4. Simplify Fraction: Finally, we simplify the fraction if possible. 2740\frac{27}{40} cannot be simplified further, so that's our answer.

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