Question

solution of ratio 1/12:1/15:1/20=5:4:3​

Answer 1

Answer:

The answer to your question is, Yes!

1/4 : 1/5

Steps to simplify these ratios:

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1.Select the denominators. e.g. Here, 4 & 5 are the denominators.

2.Find LCM of these denominators (here, LCM of 4 & 5 is 20)

3. Multiply both terms by this LCM. (Here you get 5:4)

4. Simplify further if needed.

Another example:

2/3 : 4/5

Denominators are: 3,5

1. LCM = 15

2. (2/3)×15 = 10; (4/5)×15 = 12. Hence, Ratio is 10:12 (i.e. 5:6)

Rule: If you multiply or divide both terms of a ratio by same non-zero number simultaneously, the ratio remains the same.

Answer 2

Answer:

Step-by-step explanation:

Question: Prove that 1/12 : 1/15 : 1/20 = 5 : 4 : 3

• Take LCM of the denominators 12, 15, & 20

(shown in the attachment below- screenshot (2429).png file)

• We get factors 3, 5, & 4, i.e.; denominator should be 3 x 5 x 4 = 60

Now,

• make denominator of all 3 of them 60 by multiplying both numerator and denominators

(shown in attachment below - screenshot (2431).png file)

• The common denominator gives rise to the new ratio - 5 : 4 : 3

This is the correct answer.

Quick method:

1/12:1/15:1/20

• take LCM, we get 3 values, check which value is correct in each parts that satisfies the denominator.

→→→→That is for 1/12, we need 5 to be multiplied to 12 to get 60. ∴ 5 in the first place, then for 1/15, 15 x 4 = 60, hence 4 ends up there, then similarly for 1/20, 3.