High School

Sandy completed part of Wednesday's crossword and part of Thursday's crossword. In total, what fraction of these crosswords did Sandy finish?

Answer :

Sandy finished [tex]1 \frac{3}{8}[/tex] or [tex]1.375[/tex] of the total parts of these crosswords.

  1. Understand the problem: Sandy completed fractions of two different crosswords on Wednesday and Thursday, and we want to find out what fraction of these two crosswords combined he completed.

  2. Identify the fractions involved:

    • Sandy completed [tex]\frac{3}{4}[/tex] of Wednesday's crossword.
    • Sandy completed [tex]\frac{5}{8}[/tex] of Thursday's crossword.

  3. Find a common denominator: To add these fractions together, we need to express them with the same denominator. The denominators here are 4 and 8. The least common multiple (LCM) of 4 and 8 is 8.

  4. Convert the fractions to have a common denominator:

    • To convert [tex]\frac{3}{4}[/tex] to a fraction with a denominator of 8, we multiply both the numerator and the denominator by 2:
      [tex]\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}[/tex]
    • The fraction [tex]\frac{5}{8}[/tex] already has the denominator 8, so it stays the same.

  5. Add the fractions: Now that the fractions have the same denominator, we can add them by adding their numerators:
    [tex]\frac{6}{8} + \frac{5}{8} = \frac{6 + 5}{8} = \frac{11}{8}[/tex]

  6. Interpret the result: The fraction [tex]\frac{11}{8}[/tex] is an improper fraction (where the numerator is larger than the denominator), which can also be expressed as a mixed number:
    [tex]\frac{11}{8} = 1 \frac{3}{8}[/tex]

So, Sandy completed [tex]\frac{11}{8}[/tex] or [tex]1 \frac{3}{8}[/tex] of the combined crosswords from Wednesday and Thursday. If we express this as a decimal, it's approximately 1.375.

To summarize, Sandy finished [tex]1 \frac{3}{8}[/tex] or [tex]1.375[/tex] of the total parts of these crosswords.

Final answer:

Sandy completed 4/5 of Wednesday's crossword and 1/2 of Thursday's crossword, totaling 1 3/10 crosswords finished.

Explanation:

Sandy completed 4/5 of Wednesday's crossword and 1/2 of Thursday's crossword.

  1. Calculate the total fraction completed by adding the fractions: 4/5 + 1/2 = 8/10 + 5/10 = 13/10.
  2. Convert the improper fraction 13/10 to a mixed number: 1 3/10.

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