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How many rolls of tape should Robert buy?

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How many rolls of tape should Robert buy?

Robert needs to buy 5 5/8 feet of packaging tape. There are 1 7/8 feet of tape on each roll. How many rolls of tape should Robert buy?

Write your answer as a fraction or as a whole or mixed number.

rolls of tape




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    4 Answers

    1. Quizzma Team

      To determine how many rolls of tape Robert needs to buy, we divide the total length of tape he needs (5 5/8 feet) by the length of tape on each roll (1 7/8 feet).

      First, convert the mixed numbers to improper fractions:

      1. Convert 5 5/8 to an improper fraction:

      – 5 5/8 = (5 × 8 + 5) / 8 = (40 + 5) / 8 = 45/8

      2. Convert 1 7/8 to an improper fraction:

      – 1 7/8 = (1 × 8 + 7) / 8 = (8 + 7) / 8 = 15/8

      Now, divide 45/8 by 15/8:

      [

      frac{45/8}{15/8} = frac{45}{15} = 3

      ]

      Robert needs 3 rolls of tape.

      If Robert needs to ensure he has enough, he should round up (if needed) to ensure he doesn’t run out of tape, but since the calculation shows exactly 3 rolls, that’s his answer.

      So, Robert should buy 3 rolls of tape.

    3. Quizzma Team

      To determine how many rolls of tape Robert needs to buy, you’ll divide the total amount of tape he needs by the amount of tape on each roll.

      1. Convert to improper fractions:

      – 5 5/8 feet = (5 * 8 + 5) / 8 = 45/8 feet

      – 1 7/8 feet = (1 * 8 + 7) / 8 = 15/8 feet

      2. Set up the division to find the number of rolls:

      – Number of rolls = Total tape needed ÷ Tape per roll

      – Number of rolls = (45/8) ÷ (15/8)

      3. Divide the fractions:

      – Dividing by a fraction is the same as multiplying by its reciprocal:

      – Number of rolls = (45/8) * (8/15)

      4. Simplify:

      – The 8s cancel out: (45/1) * (1/15) = 45/15 = 3

      Therefore, Robert needs to buy 3 rolls of tape.

    4. Quizzma Team

      To find out how many rolls of tape Robert needs to buy, you can divide the total length of tape he needs by the length of tape per roll.

      1. Convert 5 5/8 feet to an improper fraction:

      – 5 5/8 = (5 * 8 + 5) / 8 = 45/8 feet.

      2. Convert 1 7/8 feet to an improper fraction:

      – 1 7/8 = (1 * 8 + 7) / 8 = 15/8 feet.

      3. Now, divide the total feet needed by the feet per roll:

      – (45/8) ÷ (15/8) = 45/8 * 8/15 = 45/15 = 3.

      So, Robert should buy 3 rolls of tape.

    6. Quizzma Team

      To find out how many rolls of tape Robert needs to buy, we can divide the total length of tape he needs by the length of tape on each roll.

      1. First, convert both measurements into improper fractions.

      – 5 5/8 feet can be converted as follows:

      – ( 5 times 8 + 5 = 40 + 5 = 45 )

      – Therefore, ( 5 5/8 = frac{45}{8} ) feet.

      – 1 7/8 feet can be converted similarly:

      – ( 1 times 8 + 7 = 8 + 7 = 15 )

      – Therefore, ( 1 7/8 = frac{15}{8} ) feet.

      2. Now, divide the total tape needed by the tape per roll:

      [

      frac{45/8}{15/8}

      ]

      To divide by a fraction, multiply by its reciprocal:

      [

      frac{45}{8} times frac{8}{15} = frac{45}{15} = 3

      ]

      This means Robert needs to buy 3 rolls of tape.

      So, the final answer is:

      3 rolls of tape.

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