1. Explain or show how you could find 5 / 1/3

by using the value of 5x3

Find 12 / 3/5

20

Step-by-step explanation:

You could find 5/⅓

by using 5 * 3

Knowing that:

i. Any number multiplied by 1, gives the number itself.

ii. Dividing any number by itself gives 1.

You would agree with me that

i. (5*3) / (5*3) = 1

ii. Writing 5/⅓ as 5/⅓ * 1 doesn't change the value.

Then I can write 5/⅓ as

5/⅓ * (5*3) / (5*3) = 1

This can become

[5 * (5*3) ] / [ (⅓) * (5*3) ]

= 75 / (15/3)

= 75/5

= 15

In a similar way,

12 / 3/5

= [12 / (3/5) ] * [ (5*3) / (5*3) ]

= 12 * (5*3) / (3/5) * (5*3)

= (12*5*3) / [ (3*5*3) / 5]

= 180 / (45/5)

= 180 / 9

= 20