Question

write the following the rotios in lowest from:-1) 81:108 2)15cm : 40 cm 3) 1 dozen : 1 score 4)250 ml :2 litres

Answer 1

Step-by-step explanation:

1)81:108=9:12=3:4

2)15:40=3:8

Answer 2

• The ratios are :-
• 1) 3 : 4.
• 2) 3 cm : 8 cm.
• 3) 3 : 5.
• 4) 1 ml : 8 ml.

Given :-

• Ratios :- 81 : 108, 15 cm : 40 cm, 1 dozen : 1 score and 250 ml : 2 litres.

To find :-

• The ratios in lowest form.

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Step-by-step explanation :-

$\mathfrak{Question \: 1.}$

Ratio = 81 : 108.

$\sf \dfrac{81}{108}$

Both 81 and 108 are divisible by 3, so lets reduce them. We get :-

$\sf\dfrac{27}{36}$

We can reduce them again. So lets do it, we are left with :-

$\sf \dfrac{9}{12}$

Now lets reduce them one last time.

The final result is :

$\sf \dfrac{3}{4}$

So, the ratio 81 : 108 in its simplest to term is 3 : 4.

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$\mathfrak{Question \: 2.}$

Ratio = 15 cm : 40 cm.

$\sf\dfrac{15 \: cm}{40 \: cm}$

15 and 40 both are divisible by 5, so lets reduce them. We get :-

$\sf\dfrac{3 \: cm}{8 \: cm}$

So, the ratio 15 cm : 40 cm in its simplest form is 3 cm : 8 cm.

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$\mathfrak{Question \: 3.}$

Ratio = 1 dozen : 1 score.

1 dozen = 12.

1 score = 20.

So, the ratio is :-

$\sf \dfrac{12}{20} = 12 : 20.$

12 and 20 are both divisible by 2, so lets reduce them. We get :-

$\sf \dfrac{6}{10}$

We can reduce them again, so lets do it. We are left with :-

$\sf \dfrac{3}{5}$

So, the ratio 1 dozen : 1 score in its simplest form is 3 : 5.

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$\mathfrak{Question \: 4.}$

Ratio = 250 ml : 2 litres.

Since ratios can only be found when the units are same, therefore lets convert 2 litres into millilitres.

1 litre = 1000 millilitres.

So, 2 litres = 1000 × 2 = 2000 millilitres.

Now, lets find the ratio 250 ml : 2000 millilitres in its simplest form.

$\sf \dfrac{250 \: ml}{2000 \: ml}$

Lets cut off the zeroes first.

We get :-

$\sf\dfrac{25 \: ml}{200 \: ml}$

25 and 200 are both divisible by 5, so lets reduce them. We get :-

$\sf \dfrac{5 \: ml}{40 \: ml}$

We can reduce them again, so lets do it.

We get :-

$\sf \dfrac{1 \: ml}{8 \: ml}$

So, the ratio 250 ml : 2 litres in its simplest form is 1 ml : 8 ml.

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