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Patrick wants to hang up a poster that is 13//4 feet wide and 25//8 feet long. How much wall space will the poster cover?

Patrick wants to hang up a poster that is 13/4 13 / 4 feet wide and 25/8 25 / 8 feet long. How much wall space will the poster cover?

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Add and subtract mixed numbers: word problemsright chevron icon

Full solution

Q. Patrick wants to hang up a poster that is 13/4 13 / 4 feet wide and 25/8 25 / 8 feet long. How much wall space will the poster cover?
  1. Calculate area: To find the area of the poster, multiply the width by the length. 134\frac{13}{4} feet ×258\times \frac{25}{8} feet
  2. Convert to improper fractions: First, convert the mixed fractions to improper fractions.\newline134=134\frac{13}{4} = \frac{13}{4} (already an improper fraction)\newline258=258\frac{25}{8} = \frac{25}{8} (already an improper fraction)
  3. Multiply fractions: Now, multiply the two improper fractions. (134)×(258)=32532(\frac{13}{4}) \times (\frac{25}{8}) = \frac{325}{32} square feet
  4. Simplify fraction: Simplify the fraction if possible. 32532\frac{325}{32} cannot be simplified further.
  5. Convert to mixed number: Convert the improper fraction to a mixed number for easier understanding. 32532=10532\frac{325}{32} = 10 \frac{5}{32} square feet

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