Video: Converting Quarts to Liters

Determine, to the nearest hundredth, the number of liters in 4.28 qt.

01:36

Video Transcript

Determine, to the nearest hundredth, the number of liters in 4.28 quarts.

One US liquid quart is equal to 0.946353 liters. So if we have 4.28 quarts, that’s equal to how many liters? We can let that be 𝑥. So we can do this two ways. We can either set up a proportion where we say one is to 4.28 as 0.946353 is to 𝑥. And then, we start cross multiplying. So 𝑥 times one is 𝑥 and 4.28 times 0.946353 is equal to 4.05039084. But it says round to the nearest hundredth, which would be the five. So we will either keep the five a five or round it up to a six. So we’ll look at the number to the right. Since zero is less than five, we will keep the five a five. Therefore, 4.28 quarts is equal to 4.05 liters.

Another way we could have looked at this is if we knew that one liquid quart was equal to 0.946353 liters, then we could take the number of quarts and multiply it by that decimal. So we simply would have taken 4.28 and multiplied it by 0.946353 which would have given us again 4.05039084. And then after rounding, for our final answer, we would still get 4.05 liters.

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