HOW TO WRITE RATIO IN SIMPLEST FORM

Express as a ratio in simplest form :

Problem 1 :

3 : 6

Solution :

3 : 6

When we divide by 3, we get

= 3/3 : 6/3

= 1 : 2

So, the simplest form is 1 : 2.

Problem 2 :

3/4 : 1/4

Solution :

3/4 : 1/4

By multiplying both parts by 4, we get

= (3/4) ⋅ 4 : (1/4) ⋅ 4

= 3 : 1

So, the simplest form is 3 : 1.

Problem 3 :

0.5 : 0.2

Solution :

0.5 : 0.2

Multiplying both parts by 10, we get

= 5 : 2

So, the simplest form is 5 : 2.

Problem 4 :

18 : 24

Solution :

18 : 24

When we divide by 6, we get

3 : 4

So, the simplest form is 3 : 4.

Problem 5 :

2 1/2 : 1 1/2

Solution :

2 1/2 : 1 1/2

5/2 : 3/2

By multiplying both parts by 2, we get

= (5/2) ⋅ 2 : (3/2) ⋅ 2

= 5 : 3

So, the simplest form is 5 : 3

Problem 6 :

1.5 : 0.3

Solution :

1.5 : 0.3

Multiplying both parts by 10, we get

15 : 3

When we divide by 3, we get

5 : 1

So, the simplest form is 5 : 1.

Problem 7 :

20 c to $1.20

Solution :

20 c to $1.20

$1.20 = 120 cents

= 20 : 120

When we divide by 20, we get

= 1 ; 6

So, the simplest form is 1 : 6.

Problem 8 :

2 L to 500 ml

Solution :

2 L to 500 ml

1 ml = 0.001 L

500 ml = 500 × 0.001

500 ml = 0.5 L

= 2 : 0.5

Multiplying both parts by 10, we get

20 : 5

When we divide by 5, we get

= 4 : 1

So, the simplest form is 4 : 1.