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SOLVE :
i)-48 / 49 ÷72/-35
ii) 3 1/7 ÷ (-33/ 34)

SOLVE : i)-48 / 49 ÷72/-35 ii) 3 1/7 ÷ (-33/ 34)-example-1

1 Answer

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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.

User Albertosh
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