Question 1

An expression is shown below.

The value of the expression is represented as a fraction. The numerator of the fraction is a whole number. What is the SMALLEST number that could be the denominator of the fraction?

Accepted Answer

20

Answer

10

Answer

50

Answer

5

Question 2

Carlos is adding the mixed numbers $1\frac{1}{5}$ and $2\frac{1}{8}$ by changing each number into an improper fraction. Which pair of improper fractions should Carlos use?

Accepted Answer

$1\frac{1}{5} = \frac{48}{40}$ and $2\frac{1}{8} = \frac{85}{40}$

Answer

$1\frac{1}{5} = \frac{8}{40}$ and $2\frac{1}{8} = \frac{5}{40}$

Answer

$1\frac{1}{5} = \frac{48}{40}$ and $2\frac{1}{8} = \frac{50}{40}$

Answer

$1\frac{1}{5} = \frac{16}{40}$ and $2\frac{1}{8} = \frac{15}{40}$

Question 3

The expression below shows two fractions being added.

$\quad\frac{7}{12}+\frac{1}{18}$

Which expression could be used to find the sum of the two fractions?

Accepted Answer

$\frac{15}{36}+\frac{6}{36}+\frac{1}{36}+\frac{1}{36}$

Answer

$\frac{5}{6}+\frac{2}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$

Answer

$\frac{30}{72}+\frac{12}{72}+\frac{2}{72}+\frac{1}{72}$

Answer

$\frac{5}{30}+\frac{1}{30}+\frac{1}{30}+\frac{1}{30}$

Question 4

Priya has two pieces of fabric.

$\quad\bullet\enspace$ One piece is $\frac{8}{12}\,	ext{foot}$ in length.
$\quad\bullet\enspace$ The other piece is  $\frac{3}{12}\,	ext{foot}$ in length.

Priya uses $\frac{9}{12}\,	ext{foot}$foot of the fabric to make a pillowcase. How many feet of fabric does Priya have remaining?

Accepted Answer

$\frac{1}{6}$

Answer

$1\frac{1}{6}$

Answer

$\frac{1}{3}$

Answer

$\frac{11}{12}$

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