Question

Help quickly plz!!

Describe or show how to find the following product using both an algorithm and a diagram:

3 x 3/4

1/4 x 2/3

and

1 1/3 x 2

Answer 1

PART 1. Using an algorithm:

First expression:

3 x 3/4

Step 1: Multiply numerators and denominators.

3 x 3/4 = 9/4

Second expression:

1/4 x 2/3 = 2/12

Step 1: Multiply numerators and denominators.

3 x 3/4 = 9/4

Third expression:

1 1/3 x 2

Step 1: Convert mixed fraction into improper fraction:

1 1/3

add whole and fraction part : 1 + 1/3 =4/3

Step 2: Replace the improper form into the expression

4/3 x 2

Step 2: Multiply numerators and denominators.

4/3 x 2 = 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.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

PART 1. Using an algorithm:

First expression:

`3 * (3)/(4)`

Step 1: Multiply numerators and denominators.

`3 * (3)/(4)=(9)/(4)`

Second expression:

`(1)/(4) * (2)/(3)=(2)/(12)`

Step 1: Multiply numerators and denominators.

`3 * (3)/(4)=(9)/(4)`

Third expression:

`1(1)/(3) * 2`

Step 1: Convert mixed fraction into improper fraction:

`1(1)/(3) \\ \\ \\ Add \ whole \ and \ fractional \ part: \\ \\ 1+(1)/(3)=(4)/(3)`

Step 2: Replace the improper form into the expression

`(4)/(3)* 2`

Step 2: Multiply numerators and denominators.

`(4)/(3)* 2=(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.