Question

Help quickly plz!!

Answer 1

Explanation:

PART 1. Using an algorithm:

First expression:

$3 \times \frac{3}{4}$

Step 1: Multiply numerators and denominators.

$3 \times \frac{3}{4}=\frac{9}{4}$

Second expression:

$\frac{1}{4} \times \frac{2}{3}=\frac{2}{12}$

Step 1: Multiply numerators and denominators.

$3 \times \frac{3}{4}=\frac{9}{4}$

Third expression:

$1\frac{1}{3} \times 2$

Step 1: Convert mixed fraction into improper fraction:

$1\frac{1}{3} \\ \\ \\ Add \ whole \ and \ fractional \ part: \\ \\ 1+\frac{1}{3}=\frac{4}{3}$

Step 2: Replace the improper form into the expression

$\frac{4}{3}\times 2$

Step 2: Multiply numerators and denominators.

$\frac{4}{3}\times 2=\frac{8}{3}$

PART 2. Using diagram:

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.