Practice: Equivalent ratios in the real world. Practice: Understand equivalent ratios in the real world. Next lesson. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript - [Instructor] We're asked to select three ratios that are equivalent to seven to six.
So pause this video and see if you can spot the three ratios that are equivalent to seven to six. Alright, now let's work through this together, and the main thing to realize about equivalent ratios is we just have to multiply or divide the corresponding parts of the ratio by the same amount. So before I even look at these choices, for example, if I have seven to six, if I multiply the seven times two to get 14, then I would also multiply the six times two to get So, for example, 14 to 12 is the exact same ratio.
Now you might be tempted to pick 12 to 14, but that is not the same ratio. Order matters in a ratio. This could be ratio of oranges to apples.
And we're saying for every seven oranges, there are six apples. You wouldn't be able to say it the other way around. So you would rule this one out even though it's dealing with some of the right numbers. It's not in the right order. Now let's think about 21 to To go from seven to 21, we would multiply by three. And to go from six to 18, you would also multiply by three. So that works. If we multiply both of these numbers by three, we get 21 to So let me circle that in.
That one is for sure equivalent. What about 42 to 36? Well, to go from seven to 42, we're going to have to multiply by six. And to go from six to thirty-six, we also multiply by six. So this, once again, is an equivalent ratio. We multiply each of these by six and we keep the same order.
So that is equivalent right over there. Let's see, to go from seven to 63, you multiply by nine. And to go from six to 54, you also multiply by nine. So once again, 63 to 54 is an equivalent ratio. And so we've already selected three, but let's just verify that this doesn't work.
So to go from seven to 84, you would multiply by Let's do another example. So once again, we are asked to select three ratios that are equivalent to 16 to So pause this video and see if you can work through it. Compare the numerators of the fractions obtained in the above step Step IV. The fraction having larger numerator will be larger than the other fraction.
Two or more ratios can be compared by writing their equivalent fractions with common denominators. Solved examples of comparison of ratios:. Compare the ratios 4 : 5 and 2 : 3. Making the denominator of each fraction equal to 15, we have. Compare the ratios 5 : 6 and 7 : 9. Making the denominator of each fraction equal to 18, we have. C ompare the ratios 1. Making the denominator of each fraction equal to 50, we have. Didn't find what you were looking for?
Or want to know more information about Math Only Math. Use this Google Search to find what you need. All Rights Reserved.
0コメント