Question

Evaluate: 5 6/7 - 2 5/6 - 1 2/3​

Answer 1

Answer:

(5*6)/7 - (2*5)/7 - 2/3

30/7 -10/7 -2/3

(90-30-17)/21

54/21

Answer 2

Answer:

$Value \:of \: 5\frac{6}{7}-2\frac{5}{6}-1\frac{2}{3}=\frac{19}{14}$

Step-by-step explanation:

$Value \:of \: 5\frac{6}{7}-2\frac{5}{6}-1\frac{2}{3}\\=\frac{41}{7} - \frac{17}{6} - \frac{5}{3}$

$= \frac{ 41\times 6 - 17 \times 7 - 5 \times 14}{42}\\=\frac{ 246 - 119 - 70 }{42}\\=\frac{246-189}{42}\\=\frac{ 57}{42}\\=\frac{3 \times 19}{3\times 14}\\= \frac{19}{14}$

Therefore,

$Value \:of \: 5\frac{6}{7}-2\frac{5}{6}-1\frac{2}{3}=\frac{19}{14}$

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