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QUESTION IMAGE

24/30 5/9 + -3/4

Question

24/30
5/9 + -3/4

Explanation:

Step1: Find common denominator

The common - denominator of 9 and 4 is \(9\times4 = 36\).

Step2: Rewrite fractions with common denominator

\(\frac{5}{9}=\frac{5\times4}{9\times4}=\frac{20}{36}\), \(\frac{-3}{4}=\frac{-3\times9}{4\times9}=\frac{-27}{36}\)

Step3: Add the fractions

\(\frac{20}{36}+\frac{-27}{36}=\frac{20+( - 27)}{36}=\frac{20 - 27}{36}=\frac{-7}{36}\)

Answer:

\(-\frac{7}{36}\)