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Evaluate and simplify the following complex fraction. ((-5)/(-2))/((6)/(7))=

Evaluate and simplify the following complex fraction.\newline−5−267=□ \frac{\frac{-5}{-2}}{\frac{6}{7}}=\square

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Full solution

Q. Evaluate and simplify the following complex fraction.\newline−5−267=□ \frac{\frac{-5}{-2}}{\frac{6}{7}}=\square
  1. Simplify Numerator: First, let's simplify the numerator and the denominator separately. The numerator is (−5)/(−2)(-5)/(-2), which simplifies to 5/25/2 because a negative divided by a negative is a positive.
  2. Simplify Denominator: Now, let's look at the denominator, which is (67)(\frac{6}{7}). This is already in its simplest form, so we don't need to do anything with it.
  3. Divide by Reciprocal: Next, we divide the fraction in the numerator by the fraction in the denominator. Dividing by a fraction is the same as multiplying by its reciprocal. So, we multiply 52\frac{5}{2} by the reciprocal of 67\frac{6}{7}, which is 76\frac{7}{6}.
  4. Multiply Fractions: Now, multiply the two fractions. (52)×(76)=3512(\frac{5}{2}) \times (\frac{7}{6}) = \frac{35}{12}. This is the simplified result of the complex fraction.

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