Explanation:
i)
-48 / 49 ÷ 72 / -35
= -48 / 49 x -35 / 72 (dividing by a fraction is the same as multiplying by its reciprocal)
= 12 / 49 x 7 / 18 (simplifying by dividing both the numerator and denominator by their common factors of 2 and 5)
= 2 / 49 x 1 / 3 (further simplifying by dividing both the numerator and denominator by their common factor of 7)
Therefore, -48 / 49 ÷ 72 / -35 simplifies to 2 / 147.
ii)
3 1/7 ÷ (-33/ 34)
To divide a mixed number by a fraction, we first need to convert the mixed number to an improper fraction:
3 1/7 = (3 x 7 + 1) / 7 = 22 / 7
Therefore, we have:
22 / 7 ÷ (-33 / 34)
To divide by a fraction, we multiply by its reciprocal:
22 / 7 x (-34 / 33)
= (-22 x 34) / (7 x 33) (multiplying the numerators and denominators)
= -748 / 231 (simplifying by dividing both the numerator and denominator by their common factor of 2)
Therefore, 3 1/7 ÷ (-33/ 34) simplifies to -748 / 231.