Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.43÷−79Answer:
Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal.To divide by a fraction, you multiply by its reciprocal. The reciprocal of −79 is −97.So, 43÷−79 becomes 43∗−97.
Multiply numerators and denominators: Multiply the numerators and the denominators.Now, multiply the numerators (3×−7) and the denominators (4×9).This gives us (3×−7)/(4×9)=−21/36.
Simplify the fraction: Simplify the fraction.To simplify the fraction, we look for the greatest common divisor (GCD) of the numerator and the denominator.The GCD of 21 and 36 is 3.Divide both the numerator and the denominator by 3 to simplify the fraction.−3621÷33=−127.
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