To determine proportionality between two ratios or rates how do you do this
Conclusion
To determine proportionality between two ratios or rates, follow these steps:
1. Write down the two ratios or rates that you want to compare. For example, let's say we have the ratios 2:5 and 4:10.
2. Simplify the ratios by dividing both the numerator and denominator by the greatest common factor (GCF) of the two ratios. In our example, the GCF of 2 and 5 is 1, so the simplified ratio becomes 2:5. The GCF of 4 and 10 is 2, so the simplified ratio becomes 2:5 as well.
3. Compare the simplified ratios. If the simplified ratios are the same, then the original ratios are in proportion and there is proportionality between the two ratios or rates. In our example, since both simplified ratios are 2:5, we can conclude that the ratios are in proportion.
In conclusion, to determine proportionality between two ratios or rates, simplify the ratios and check if the simplified ratios are the same. If they are the same, then the ratios are in proportion and there is proportionality between them.
To determine proportionality between two ratios or rates, you need to compare the values of the two ratios or rates and see if they are equivalent. Here's a step-by-step explanation of how to do this:
1. Start by writing down the two ratios or rates that you want to compare. For example, let's say the first ratio is 2:3 and the second ratio is 4:6.
2. Simplify each ratio separately by dividing both parts of the ratio by their greatest common divisor (GCD). In our example, the first ratio simplifies to 2:3 and the second ratio simplifies to 2:3 as well. This means that the two ratios are equivalent.
3. Alternatively, you can convert each ratio to a decimal or a fraction and compare them. In our example, the first ratio becomes 2/3 and the second ratio becomes 4/6, which simplifies to 2/3 as well. Again, this indicates that the two ratios are equivalent.
If the two ratios or rates are equivalent after simplification or conversion, then they are proportional. In this case, you can conclude that there is proportionality between the two ratios or rates.