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Question

Find the sum or difference for the exercise given below. Write the correct answer.

5234355 \frac{2}{3}-4 \frac{3}{5}

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5234355\frac{2}{3}-4\frac{3}{5}

523435=5×3+234×5+35=173235=17×523×315=856915=1615=15+115=15×1+115=15×115+115=115\begin{align*} 5\frac{2}{3}-4\frac{3}{5}&=\frac{5 \times 3+2}{3}-\frac{4 \times 5+3}{5}\\ &=\frac{17}{3}-\frac{23}{5}\\ &=\frac{17 \times 5-23 \times 3}{15}\\ &=\frac{85-69}{15}\\ &=\frac{16}{15}\\ &=\frac{15+1}{15}\\ &=\frac{15 \times 1+1}{15}\\ &=\frac{15 \times 1}{15}+\frac{1}{15}\\ &=1\frac{1}{5} \end{align*}

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