When simplifying algebraic ratios, take common factors from both the numerator and denominator to reduce the expression to its simplest form. For example, in the ratio (4.5x + 13.5y)/(2x + 6y), taking 4.5 common from the numerator gives (x + 3y), and taking 2 common from the denominator gives (x + 3y), resulting in the simplified ratio 9/4. The values a and b are 9 and 4 respectively, so a - 2b = 9 - 2(4) = 1.
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Ratio ka Bhaukal Question. Chota packet bada dhamaka.Added:
I have come to see the Bhaukaal question of the ratio.
Come, let me teach you quickly. Look, this question is related to the ratio chapter. Here the number system is associated and asked in the exam. Given 4.5x, I'll write it down once here.
4.5x + 13.5y / 2x + 6y This is = a / b So these two ratios are equal. Where is the answer to this ratio? a and b. And that being said, what are a and b? is coprime.
What is a coprime? HCF which has one.
Meaning nothing is common. Ok? If so, then you have to tell me the value of a - 2b. So here the children directly say that Sir, I will not be able to answer this. If you have taken my class then you can definitely tell me what needs to be done in this, brother? You look upstairs, can I take some mangoes? Yes, you can take 4.5x common. 4.5 means if you take 4.5 common then x will be left here. What will be left here? 3y will survive. Can I take some common ones below? Yes, I can take it. Take two common ones.
So what will happen to this? will become x + 3y.
And my brother, both of these got cancelled. It was beans. Equal to what has come? a / b Now what is this? This is 9/2 and this is your two. This means how much did it cost overall? It's 9/4. So what is the value of a / b? 9/4 and sin coprime are said to be what is the value of a?
What is the value of 9 b? 4 So this was the funda. Keep in mind that whenever you calculate the ratio of these two, what will this ratio turn out to be? 9/4. The ratio of 4.5 and 2 is 9/4 and if you calculate its ratio also, you will see that it will be the same. Whenever this happens, even if it appears that the ratio is not being formed, it will be formed. This is the concept.
You will take care. Ok? If the ratio of these two is same then it will be cut.
How will it be cut? Take the common and cut it.
This is the value of a / b. What did you ask? This is nine. This will be 8. The answer is one. My answer became one.
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