Question

38/45 - ( 8/45 - 17/51-3/11)

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Answer 1

\(\dfrac{38}{45}-\left(\dfrac{8}{45}-\dfrac{17}{51}-\dfrac{3}{11}\right)\)
\(=\dfrac{38}{45}-\dfrac{8}{45}+\dfrac{17}{51}+\dfrac{3}{11}\)
\(=\left(\dfrac{38}{45}-\dfrac{8}{45}\right)+\dfrac{1}{3}+\dfrac{3}{11}\)
\(=\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{3}{11}\)
\(=\left(\dfrac{2}{3}+\dfrac{1}{3}\right)+\dfrac{3}{11}\)
\(=1+\dfrac{3}{11}\)
\(=\dfrac{11}{11}+\dfrac{3}{11}\)
\(=\dfrac{14}{11}\)

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