Answer:
Amount of dry ice used = [tex]\frac{1}{4}\ pounds[/tex]
Step-by-step explanation:
Weight of dry ice bought = [tex]\frac{3}{4}[/tex] pounds
Fraction of dry ice used = [tex]\frac{1}{3}[/tex]
To find the amount of dry ice used.
Solution:
Amount of dry ice used can be calculated as:
⇒ [tex]\frac{1}{3}\textrm{of the total weight of dry ice bought}[/tex]
⇒ [tex]\frac{1}{3}\ of\ \frac{3}{4}[/tex] pounds
⇒ [tex]\frac{1}{3}\times \frac{3}{4}[/tex] pounds
Multiplying numerator and denominators.
⇒ [tex]\frac{1\times 3}{3\times 4}[/tex] pounds
⇒ [tex]\frac{3}{12}[/tex] pounds
Simplifying fractions by dividing the numerator and denominator bt their GCF.
⇒ [tex]\frac{3\div 3}{12\div 3}[/tex] pounds
⇒ [tex]\frac{1}{4}[/tex] pounds
∴ Amount of dry ice used = [tex]\frac{1}{4}\ pounds[/tex]