Answer:
[tex]2\frac{1}{6}[/tex] pounds.
Step-by-step explanation:
We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.
To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:
[tex]\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}[/tex]
Let us convert mixed fractions into improper fractions as:
[tex]1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}[/tex]
[tex]\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}[/tex]
[tex]\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}[/tex]
[tex]\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}[/tex]
Combine numerators:
[tex]\text{Weight of bucket}=\frac{36-10-13}{6}[/tex]
[tex]\text{Weight of bucket}=\frac{13}{6}[/tex]
[tex]\text{Weight of bucket}=2\frac{1}{6}[/tex]
Therefore, the weight of the bucket is [tex]2\frac{1}{6}[/tex] pounds.
