Middle School

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Sam completed \(\frac{2}{3}\) of Wednesday's crossword and \(\frac{1}{3}\) of Thursday's crossword. In total, what fraction of the crosswords did Sam finish?

Answer :

Sam completed 2/3 of the one on Wednesday and 1/3 of the one on Thursday, so he has done 3 thirds of both.


now, a whole is 1, in this case for thirds that'd be 3/3 for a whole crossword, for two crosswords that'd be 3/3 + 3/3 or 6 thirds, and Sam has completed only 3 thirds of that, 3 thirds is half of 6 thirds.

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Rewritten by : Barada

Final answer:

Sam completed a combined total of one whole crossword by solving 2/3 of Wednesday's and 1/3 of Thursday's puzzles, giving us 3/3 or 1 whole crossword.

Explanation:

To find the total fraction of the crosswords Sam finished, we need to add the fractions completed each day. Sam finished 2/3 of Wednesday's crossword and 1/3 of Thursday's crossword.

Adding these two fractions gives us:

2/3 of Wednesday's crossword

+

1/3 of Thursday's crossword

To add fractions, they must have the same denominator. Here, both fractions have the same denominator (3), so we can simply add the numerators:

2/3 + 1/3 = (2+1)/3

= 3/3

Since 3/3 is equal to 1, Sam finished a total of 1 crossword when combining the two days.