Question

Write the following as ratios in their simplest form.


a) 18 kg to 108 kg
b) 40 minutes to 28 second
c) 2 weeks to 4 hours
d) 2 litre to 50 mL ​

Answer 1

Answer:

b) 40 minutes to 28 second is ur correct answer

Step-by-step explanation:

A ratio in the simplest form is also called the ratio in the lowest terms. Example : The ratio 32 :48 is not in the simplest form, because 16 is a common factor of its antecedent and consequent. The simplest form of this ratio is 2 : 3 ( dividing the 1st term and 2nd term by 16).

I hope it's helpful to u :-)

Answer 2

a) The ratio of 18 kg to 108 kg in simplest form is 1 : 6

b) The ratio of 40 minutes to 28 second in simplest form is 600 : 7

c) The ratio of 2 weeks to 4 hours in simplest form is 84 : 1

d) The ratio of 2 litre to 50 ml in simplest form is 4 : 1

Given :

a) 18 kg to 108 kg

b) 40 minutes to 28 second

c) 2 weeks to 4 hours

d) 2 litre to 50 mL

To find :

The ratio in simplest form

Concept :

Ratio : Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b ≠ 0) is a fraction a/b and it is written a : b , the first term a is called antecedent and the second term is called consequent

Solution :

Step 1 of 4 :

Find ratio of 18 kg to 108 kg in simplest form

The ratio in simplest form

= 18 : 108

$\displaystyle \sf = \frac{18}{108}$

$\displaystyle \sf = \frac{1}{6}$

= 1 : 6

Step 2 of 4 :

Find ratio of 40 minutes to 28 second in simplest form

The given quantities are of different unit

We express them with same unit

1 minute = 60 seconds

∴ 40 minutes

= 40 × 60 seconds

= 2400 seconds

The ratio in simplest form

= 2400 : 28

$\displaystyle \sf = \frac{2400}{28}$

$\displaystyle \sf = \frac{600}{7}$

= 600 : 7

Step 3 of 4 :

Find ratio of 2 weeks to 4 hours in simplest form

The given quantities are of different unit

We express them with same unit

1 day = 24 hours

∴ 2 weeks

= 2 × 7 days

= 14 days

= 14 × 24 hours

= 336 hours

The ratio in simplest form

= 336 : 4

$\displaystyle \sf = \frac{336}{4}$

$\displaystyle \sf = \frac{84}{1}$

= 84 : 1

Step 4 of 4 :

Find ratio of 2 litre to 50 ml in simplest form

The given quantities are of different unit

We express them with same unit

1 litre = 1000 ml

∴ 2 litre

= 2 × 1000 ml

= 2000 ml

The ratio in simplest form

= 2000 : 50

$\displaystyle \sf = \frac{2000}{50}$

$\displaystyle \sf = \frac{4}{1}$

= 4 : 1

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