Question

simplify 7/12×28/13-7/10×5/13+2/13​

Answer 1

Answer:

Refer the attachment for answer .

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Answer 2

$\:\:\:\:\:\:\:\frac{7}{12} \times \frac{28}{13} - \frac{7}{10} \times \frac{5}{13} + \frac{2}{13} \\ \\ = \frac{(7 \times 28)}{(12 \times 13)} - \frac{7}{10} \times \frac{5}{13} + \frac{2}{13} \\ \\ = \frac{196}{156} - \frac{7}{10} \times \frac{5}{13} + \frac{2}{13} \\ \\ = \frac{49}{39} - \frac{7}{2} \times \frac{1}{13} + \frac{2}{13} \\ \\ = \frac{49}{39} - \frac{(7 \times 1)}{(2 \times 13)} + \frac{2}{13} \\ \\ = \frac{49}{39} - \frac{7}{26} + \frac{2}{13} \\ \\ = \frac{(49 \times 26) - (39 \times 7)}{(39 \times 26)} + \frac{2}{13} \\ \\ = \frac{(1274 - 273)}{1014} + \frac{2}{13} \\ \\ = \frac{1001}{1014} + \frac{2}{13} \\ \\ = \frac{77}{78} + \frac{2}{13} \\ \\ = \frac{1001 + 156}{1014} \\ \\ = \frac{1157}{1014} \\ \\ = \green{\boxed{ \frac{89}{78}}}$