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Melanie completed \(\frac{5}{6}\) of Wednesday's crossword and \(\frac{7}{10}\) of Thursday's crossword.

In total, what fraction of these crosswords did Melanie finish?

Answer :

Melanie completed (23/15) fraction of the crosswords in total.

To find the fraction of the crosswords Melanie completed, we need to add the fractions for each day and simplify the result if possible.

On Wednesday, Melanie completed [tex](\frac{5}{6})[/tex] of the crossword.

On Thursday, Melanie completed [tex](\frac{7}{10})[/tex] of the crossword.

To determine the total fraction completed, we add the fractions:

[tex](\frac{5}{6}) + (\frac{7}{10})[/tex]

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 10, which is 30.

Converting the fractions to have a common denominator:

[tex](\frac{5}{6}) + (\frac{7}{10})[/tex] = [tex](\frac{25}{30}) + (\frac{21}{30})[/tex] = [tex](\frac{46}{30})[/tex]

The fraction 46/30 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:

[tex]\frac{(\frac{46}{2}) }{ (\frac{30}{2})}[/tex] = [tex]\frac{23}{15}[/tex]

Therefore, [tex](\frac{23}{15})[/tex] of the crosswords in total.

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