Respuesta :
Answer:
Richard used [tex]2\frac{1}{12}\ yd ^2[/tex] of fabric for his project.
Step-by-step explanation:
Given:
Total amount of fabric = [tex]11\frac23\ yd^2[/tex]
Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator, Add that to the numerator,Then write the result on top of the denominator.
[tex]11\frac23\ yd^2[/tex] can be Rewritten as [tex]\frac{35}{3}\ yd^2[/tex]
Number of pieces fabric was cut = 4
Richard is given one of four pieces of equal-sized fabric.
Amount of fabric Richard was given = [tex]\frac14 \times \frac{35}{3}=\frac{35}{12}\ yd^2[/tex]
Amount of fabric left with Richard = [tex]\frac56 \ yd^2[/tex]
We need to find the amount of fabric Richards used for his project.
Solution:
Now we can say that;
amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.
framing in equation form we get;
amount of fabric Richards used for his project = [tex]\frac{35}{12}-\frac56[/tex]
Now we will make the denominator common using LCM we get;
amount of fabric Richards used for his project = [tex]\frac{35}{12}-\frac{5\times2}{6\times2} = \frac{35}{12}-\frac{10}{12}[/tex]
Now Denominator is same so we will solve the numerator.
amount of fabric Richards used for his project = [tex]\frac{35-10}{12}= \frac{25}{12}\ yds^2[/tex]
[tex]\frac{25}{12}\ yds^2[/tex] can be rewritten as [tex]2\frac{1}{12}\ yd ^2[/tex]
Hence Richard used [tex]2\frac{1}{12}\ yd ^2[/tex] of fabric for his project.
