Math Problem Statement

Select the correct answer. Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left? A. 10 meters B. 25 meters C. 5 meters D. 12 meters

Solution

To determine how much ribbon Leah has left, we need to subtract the lengths of the pieces she cut from the original 15-meter ribbon.

  1. First, convert the mixed numbers to improper fractions: 349=3×9+49=27+49=3193 \frac{4}{9} = \frac{3 \times 9 + 4}{9} = \frac{27 + 4}{9} = \frac{31}{9} 659=6×9+59=54+59=5996 \frac{5}{9} = \frac{6 \times 9 + 5}{9} = \frac{54 + 5}{9} = \frac{59}{9}

  2. Convert these fractions to decimal form for easier subtraction: 3493.4443 \frac{4}{9} \approx 3.444 6596.5566 \frac{5}{9} \approx 6.556

  3. Subtract the lengths from the total ribbon: 153.4446.556=1510=515 - 3.444 - 6.556 = 15 - 10 = 5

So, Leah has 5 meters of ribbon left. The correct answer is: C. 5 meters

Would you like further details or have any questions?

Here are five more questions you might find interesting:

  1. How do you convert mixed numbers to improper fractions?
  2. What is the process for adding and subtracting fractions?
  3. How do you convert fractions to decimals?
  4. Can you explain more about simplifying fractions?
  5. How do you solve word problems involving multiple steps?

Tip: When working with mixed numbers in calculations, converting them to improper fractions first can simplify the process.

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Math Problem Analysis

Mathematical Concepts

Fractions
Subtraction

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6