Question

1. what is the product?

$6 \frac{1}{3} \times 2 \frac{2}{3} = ?$
a. 18
b. $16 \frac{8}{9}$
c. $12 \frac{3}{6}$
d. $12 \frac{2}{9}$

1. what is the area of the rectangle?

rectangle with length $5 \frac{1}{4}$ ft and width 3 ft

1. what is the product? use the representation to solve.

$\frac{2}{3} \times \frac{3}{4} = ?$
grid representation for $\frac{2}{3} \times \frac{3}{4}$
a. $\frac{6}{12}$
b. $\frac{9}{12}$
c. $\frac{5}{7}$
d. $\frac{6}{7}$

1. skye picks $3 \frac{1}{2}$ pints of blueberries. kate picks $2 \frac{1}{4}$ times as many pints as skye. how many pints of blueberries does kate pick?

a. $5 \frac{3}{4}$ pints
b. $6 \frac{1}{8}$ pints
c. $7 \frac{7}{8}$ pints
d. 8 pints

Explanation:

Question 9

Step1: Convert to improper fractions

$6\frac{1}{3}=\frac{19}{3}$, $2\frac{2}{3}=\frac{8}{3}$

Step2: Multiply the fractions

$\frac{19}{3} \times \frac{8}{3} = \frac{152}{9}$

Step3: Convert to mixed number

$\frac{152}{9}=16\frac{8}{9}$

Question 10

Step1: Recall rectangle area formula

$\text{Area} = l \times w$

Step2: Convert to improper fraction

$5\frac{1}{4}=\frac{21}{4}$

Step3: Calculate the area

$\frac{21}{4} \times 3 = \frac{63}{4}$

Step4: Convert to mixed number

$\frac{63}{4}=15\frac{3}{4}$

Question 11

Step1: Multiply numerators and denominators

$\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12}$

Question 12

Step1: Convert to improper fractions

$3\frac{1}{2}=\frac{7}{2}$, $2\frac{1}{4}=\frac{9}{4}$

Step2: Multiply the fractions

$\frac{7}{2} \times \frac{9}{4} = \frac{63}{8}$

Step3: Convert to mixed number

$\frac{63}{8}=7\frac{7}{8}$

Answer:

1. B. $16\frac{8}{9}$
2. $15\frac{3}{4}$ square feet
3. A. $\frac{6}{12}$
4. C. $7\frac{7}{8}$ pints