Here are the solutions to the problems on the worksheet.
a. To find $\frac{2}{3}$ of 12, divide 12 by 3 to get 4, then multiply by 2.
$4 \times 2 = 8$.
$\frac{2}{3}$ of $12 = \mathbf{8}$
b. To find $\frac{3}{4}$ of 8, divide 8 by 4 to get 2, then multiply by 3.
$2 \times 3 = 6$.
$\frac{3}{4}$ of $8 = \mathbf{6}$
c. To find $\frac{1}{5}$ of 10, divide 10 by 5.
$10 \div 5 = 2$.
$\frac{1}{5}$ of $10 = \mathbf{2}$
d. To find $\frac{2}{9}$ of 27, divide 27 by 9 to get 3, then multiply by 2.
$3 \times 2 = 6$.
$\frac{2}{9}$ of $27 = \mathbf{6}$
e. To find $\frac{3}{5}$ of 25, divide 25 by 5 to get 5, then multiply by 3.
$5 \times 3 = 15$.
$\frac{3}{5}$ of $25 = \mathbf{15}$
f. To find $\frac{1}{13}$ of 13, divide 13 by 13.
$13 \div 13 = 1$.
$\frac{1}{13}$ of $13 = \mathbf{1}$
g. To find $\frac{1}{3}$ of 18, divide 18 by 3.
$18 \div 3 = 6$.
$\frac{1}{3}$ of $18 = \mathbf{6}$
h. To find $\frac{3}{7}$ of 28, divide 28 by 7 to get 4, then multiply by 3.
$4 \times 3 = 12$.
$\frac{3}{7}$ of $28 = \mathbf{12}$
i. To find $\frac{1}{4}$ of 16, divide 16 by 4.
$16 \div 4 = 4$.
$\frac{1}{4}$ of $16 = \mathbf{4}$
j. To find $\frac{7}{8}$ of 32, divide 32 by 8 to get 4, then multiply by 7.
$4 \times 7 = 28$.
$\frac{7}{8}$ of $32 = \mathbf{28}$
k. The tank holds 24 gallons and is $\frac{3}{4}$ full. Divide 24 by 4 to get 6, then multiply by 3.
$6 \times 3 = 18$.
There are
18 gallons of gas in Mason's car.
l. Ella has 11 picture books and 7 chapter books. First, add them together: $11 + 7 = 18$ total books. She gives away $\frac{2}{3}$ of them. Divide 18 by 3 to get 6, then multiply by 2.
$6 \times 2 = 12$.
Ella gave her cousin
12 books.
Final Answer:
a. 8
b. 6
c. 2
d. 6
e. 15
f. 1
g. 6
h. 12
i. 4
j. 28
k. 18
l. 12
Parent Tip: Review the logic above to help your child master the concept of fractional parts of a set worksheet 3rd grade.