Explanation:
PART 1. Using an algorithm:
First expression:
[tex]3 \times \frac{3}{4}[/tex]
Step 1: Multiply numerators and denominators.
[tex]3 \times \frac{3}{4}=\frac{9}{4}[/tex]
Second expression:
[tex]\frac{1}{4} \times \frac{2}{3}=\frac{2}{12}[/tex]
Step 1: Multiply numerators and denominators.
[tex]3 \times \frac{3}{4}=\frac{9}{4}[/tex]
Third expression:
[tex]1\frac{1}{3} \times 2[/tex]
Step 1: Convert mixed fraction into improper fraction:
[tex]1\frac{1}{3} \\ \\ \\ Add \ whole \ and \ fractional \ part: \\ \\ 1+\frac{1}{3}=\frac{4}{3}[/tex]
Step 2: Replace the improper form into the expression
[tex]\frac{4}{3}\times 2[/tex]
Step 2: Multiply numerators and denominators.
[tex]\frac{4}{3}\times 2=\frac{8}{3}[/tex]
PART 2. Using diagram:
The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.
