Question

1. ken used $1\frac{3}{8}$ cups of walnuts and $1\frac{3}{4}$ cups of raisins to make trail mix. how many total cups of trail mix did he make?
2. ken added $\frac{5}{8}$ cup more walnuts to the trail mix. how many cups of trail mix does he have?
3. higher order thinking kayla walked $1\frac{1}{4}$ miles from home to school. then, she walked $1\frac{3}{4}$ miles from school to the store and $2\frac{1}{2}$ miles from the store to the library. how many miles did kayla walk from school to the library?
4. a painter mixes $\frac{1}{4}$ gallon of red paint, 3 quarts of yellow paint, and 2 quarts of white paint. how many quarts of paint are in the mixture?

remember,
4 quarts = 1 gallon.

1. model with math rachel has a board that is $1\frac{7}{12}$ feet long and another board that is $2\frac{11}{12}$ feet long. write an expression rachel can use to find the total length in feet of the two boards.
2. lori went to the movies. she spent $9.50 for a movie ticket, $5.50 for a box of popcorn, and $2.25 for a drink. how much did lori spend in all? show your work.
3. construct arguments jane is adding $3\frac{1}{4} + 2\frac{7}{8}$ using fraction strips. how can she rename the sum of the fraction parts of the problem? explain your thinking.
4. mckenna spends $1\frac{3}{4}$ hours mopping the floors and $3\frac{3}{8}$ hours mowing and weeding the yard. how many hours does she spend on her chores?

a 4 hours
b $4\frac{1}{8}$ hours
c 5 hours
d $5\frac{1}{8}$ hours

1. jackie’s rain gauge showed $2\frac{2}{5}$ inches on april 15 and $5\frac{2}{10}$ inches on april 30. how many inches of rain fell on those two days?

a 7 in.
b $7\frac{6}{10}$ in.
c $7\frac{4}{5}$ in.
d 8 in.

Explanation:

Question 13

Step1: Convert mixed numbers to improper fractions

\(1\frac{3}{8}=\frac{1\times8 + 3}{8}=\frac{11}{8}\), \(1\frac{3}{4}=\frac{1\times4+3}{4}=\frac{7}{4}=\frac{14}{8}\)

Step2: Add the two fractions

\(\frac{11}{8}+\frac{14}{8}=\frac{11 + 14}{8}=\frac{25}{8}=3\frac{1}{8}\)

Step1: From question 13, we know the initial trail mix is \(3\frac{1}{8}=\frac{25}{8}\) cups. The added walnuts is \(\frac{5}{8}\) cup.

Step2: Add the added walnuts to the initial trail mix

\(\frac{25}{8}+\frac{5}{8}=\frac{25 + 5}{8}=\frac{30}{8}=\frac{15}{4}=3\frac{3}{4}\)

Step1: We need to find the distance from school to library, which is the sum of the distance from school to store and store to library.

Step2: Add \(1\frac{3}{4}\) and \(2\frac{1}{2}\). Convert to improper fractions: \(1\frac{3}{4}=\frac{7}{4}\), \(2\frac{1}{2}=\frac{5}{2}=\frac{10}{4}\)

Step3: Sum the fractions \(\frac{7}{4}+\frac{10}{4}=\frac{17}{4}=4\frac{1}{4}\)

Answer:

\(3\frac{1}{8}\) cups

Question 14