QUESTION A
The given multiplication problem is
[tex]\frac{39}{64} \times \frac{8}{13}[/tex]
Factor each term to obtain;
[tex]\frac{13\times 3}{8\times8} \times \frac{8}{13}[/tex]
Cancel out the common factors to obtain;
[tex]\frac{1\times 3}{8\times1} \times \frac{1}{1}[/tex]
Simplify to get;
[tex]\frac{3}{8}[/tex]
QUESTION B
The given multiplication problem is
[tex]\frac{2}{3}\times \frac{1}{5}\times \frac{4}{7}[/tex]
This the same as
[tex]\frac{2\times 1\times 4}{3\times 5\times 7}[/tex]
This simplifies to;
[tex]\frac{8}{105}[/tex]
QUESTION C
The given problem is
[tex]\frac{3}{5}\times \frac{10}{12} \times \frac{1}{2}[/tex]
This is the same as
[tex]\frac{3}{5}\times \frac{5}{6} \times \frac{1}{2}[/tex]
[tex]=\frac{1}{1}\times \frac{1}{2} \times \frac{1}{2}[/tex]
This simplifies to
[tex]=\frac{1}{4}[/tex]
QUESTION D.
The given expression is
[tex]\frac{4}{9}\times 54[/tex]
Factor the 54 to obtain;
[tex]\frac{4}{9}\times 9\times 6[/tex]
Cancel the common factors to get;
[tex]\frac{4}{1}\times 1\times 6[/tex]
This simplifies to;
[tex]=24[/tex]
QUESTION E
The given problem is
[tex]20\times 3\frac{1}{5}[/tex]
Convert the mixed numbers to improper fraction to obtain;
[tex]=20\times \frac{16}{5}[/tex]
[tex]=4\times5 \times \frac{16}{5}[/tex]
Cancel the common factors to get;
[tex]=4\times1 \times \frac{16}{1}[/tex]
[tex]=64[/tex]
QUESTION F
The multiplication problem is
[tex]11 \times 2 \frac{7}{11}[/tex]
Convert the mixed numbers to improper fractions to obtain;
[tex]11 \times \frac{29}{11}[/tex]
Cancel out the common factors to get;
[tex]=1 \times \frac{29}{1}[/tex]
Simplify;
[tex]=29[/tex]
QUESTION G
The given problem is
[tex]5\frac{1}{3}\times 5\frac{1}{8}[/tex]
Convert to improper fractions;
[tex]=\frac{16}{3}\times \frac{41}{8}[/tex]
Cancel out the common factors to get;
[tex]=\frac{2}{3}\times \frac{41}{1}[/tex]
[tex]=\frac{82}{3}[/tex]
Convert back to mixed numbers
[tex]=27\frac{1}{3}[/tex]
QUESTION H
The given expression is
[tex]10\frac{2}{3} \times 1\frac{3}{8}[/tex]
Convert to improper fraction to get;
[tex]\frac{32}{3} \times \frac{11}{8}[/tex]
Cancel common factors to get;
[tex]=\frac{4}{3} \times \frac{11}{1}[/tex]
Simplify
[tex]=\frac{44}{3}[/tex]
Convert back to mixed numbers;
[tex]=14\frac{2}{3}[/tex]
