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Scott has 10 1/2yd of fabric to make banners for the community fair. He needs 1 3/4yd for each banner.

How many banners can Scott make?

User Drew Marsh
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1 Answer

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Final answer:

To determine the number of banners Scott can make with 10 1/2 yards of fabric, when each banner requires 1 3/4 yards, convert the mixed numbers to improper fractions, divide the total fabric length by the amount needed per banner, and simplify the fraction to find that Scott can make 6 banners.

Step-by-step explanation:

The student's question pertains to finding out how many banners Scott can make with a given amount of fabric. He has 10 1/2 yards of fabric to make banners for the community fair and needs 1 3/4 yards for each banner. To find out the number of banners Scott can make, we need to divide the total fabric length by the fabric required for each banner:

  1. Convert mixed numbers to improper fractions: 10 1/2 yards becomes 21/2 yards and 1 3/4 yards becomes 7/4 yards.
  2. Divide the total yardage by the yardage required per banner: (21/2) / (7/4).
  3. Simplify the division by multiplying by the reciprocal of the divisor: (21/2) * (4/7) which equals 84/14.
  4. Now, simplify the fraction: 84/14 reduces to 6.

Scott can make 6 banners from the fabric he has for the community fair.

User Eager
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