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Answer: A total of 8 1/3 yards of fabric is needed for both pieces.
Step-by-step explanation: First, you must subtract 1/6 from 4 1/4 to figure out how many yards of fabric is needed for the matching jacket. To do this, you have to find common denominators for each fraction. Since the fractions have a least common denominator of 12, change each fraction to satisfy this new denominator: 1/6 changes to 2/12 and 4 1/4 changes to 4 3/12. Now, you must subtract: 4 3/12 - 2/12 = 4 1/12. Therefore, the matching jacket requires 4 1/12 yards of fabric. Next, add the amount of fabric for the dress (4 3/12) to the amount of fabric for the matching jacket (4 1/12): 4 3/12 + 4 1/12 = 8 4/12. Simplify 8 4/12 to get a final answer of 8 1/3 yards of fabric in total.
A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.
What are arithmetic operation?
Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities.
According to the question
A particular dress requires 4 1/4 yards of fabric for manufacturing.
If the matching jacket requires 1/6 yards less fabric.
Jacket need = [tex]4\frac{1}{4} -\frac{1}{6}[/tex]
= [tex]\frac{17}{4} -\frac{1}{6}[/tex]
= [tex]\frac{49}{12}[/tex]
Add the Jacket fabric and dress fabric
Together we need = [tex]\frac{17}{4} +\frac{49}{12}[/tex]
= [tex]\frac{100}{12}[/tex]
= [tex]\frac{25}{3}[/tex]
A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.
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