Chapter 1: Q45. (page 19)

Find the number of band uniforms that can be made with $131 \frac{3}{4}$ yards of fabric if each uniform requires $3 \frac{7}{8}$ yards.

Short Answer

Expert verified

Bands of uniform pieces can be made with $131 \frac{3}{4}$ yards of fabric if each uniform requires $3 \frac{7}{8}$ yards.

Step by step solution

Step 1. Convert mixed fraction to proper fraction.

Mixed fractions of $131 \frac{3}{4}$ yards and $3 \frac{7}{8}$ yards can be converted into proper fractions as shown below by simplifying,

$\begin{matrix} 131 \frac{3}{4} yards = \frac{(131) (4) + 3}{4} yards \\ = \frac{527}{4} yards \\ 3 \frac{7}{8} yards = \frac{(3) (8) + 7}{8} yards \\ = \frac{31}{8} yards \end{matrix}$

Step 2. Divide 13134 yards by 378 yards

The number of band uniforms that can be made with $131 \frac{3}{4}$ yards of fabric if each uniform requires $3 \frac{7}{8}$ yards will be evaluated when $131 \frac{3}{4}$ is divided by $3 \frac{7}{8}$ . Therefore,

$\begin{matrix} 131 \frac{3}{4} \div 3 \frac{7}{8} = (\frac{527}{4}) \div (\frac{31}{8}) \\ = \frac{527}{4} \times \frac{8}{31} \\ = 34 \end{matrix}$

Step 3. Description of step.

Band of uniforms can be made with $131 \frac{3}{4}$ yards of fabric if each uniform requires $3 \frac{7}{8}$ yards.

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Find the number of band uniforms that can be made with $131 \frac{3}{4}$ yards of fabric if each uniform requires $3 \frac{7}{8}$ yards.

Short Answer

Step by step solution

Step 1. Convert mixed fraction to proper fraction.

Step 2. Divide 13134 yards by 378 yards

Step 3. Description of step.

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Find the number of band uniforms that can be made with13134 yards of fabric if each uniform requires 378yards.

Short Answer

Step by step solution

Step 1. Convert mixed fraction to proper fraction.

Step 2. Divide 13134 yards by 378 yards

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Probability and Statistics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the number of band uniforms that can be made with $131 \frac{3}{4}$ yards of fabric if each uniform requires $3 \frac{7}{8}$ yards.