Respuesta :
Answer:
[tex]32\frac{1}{4}\ ft[/tex] of tape is left on the roll.
Step-by-step explanation:
Given:
Total length of packing tape roll bough = 50 feet
She used two lengths of [tex]\frac{71}{8}[/tex] feet .
To find the length of tape left on the roll.
Solution:
Total length of tape used by Marcie = [tex]2\times \frac{71}{8}\ ft=\frac{71}{4}\ ft [/tex]
Length of tape that is left can be given as:
⇒ [tex]\textrm{Total length of the roll - Length of the roll used}[/tex]
⇒ [tex]50\ ft-\frac{71}{4}\ ft[/tex]
In order to subtract fraction from a whole number, we will write whole number in fraction form with denominator 1.
⇒ [tex]\frac{50}{1}\ ft-\frac{71}{4}\ ft[/tex]
Taking LCD =4 and multiplying the numerator and denominator of first fraction with 4
⇒ [tex]\frac{50\times 4}{1\times 4}\ ft-\frac{71}{4}\ ft[/tex]
⇒ [tex]\frac{200}{4}\ ft-\frac{71}{4}\ ft[/tex]
⇒ [tex]\frac{200-71}{4}\ ft[/tex]
⇒ [tex]\frac{129}{4}\ ft[/tex]
Converting the fraction to mixed number by writing the quotient as whole number, the remainder as numerator and divisor as denominator.
⇒ [tex]32\frac{1}{4}\ ft[/tex]
Thus, [tex]32\frac{1}{4}\ ft[/tex] of tape is left on the roll.
