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# Multiplying fractions word problem: milk

CCSS.Math:

## Video transcript

if there are six people in your family and each person drinks four fifths of a gallon of milk each month between what two whole numbers is the number of gallons of milk your family will drink each month so let's think about this a little bit so I got my milk gallon here for inspiration so there's six people in my family or in your family whoever's family we're talking about and each of them drink four fifths of a gallon per month so we're gonna go six times four fifths or 4/5 times six now what is this going to be equal to well there's several ways that we could think about this one we can express six as a fraction we could say that this is the same thing as six over one times 4/5 times 4/5 and you multiply the numerators you multiply the denominators six times four is 24 and one times five is five so twenty four fifths gallons are going to be drunk every month and this is the same thing let's see 5 goes into 20 evenly and has a remainder 4 so we could write this as 20 over 5 plus 4 over 5 let me move over a little bit so I don't run out of space plus 4 over plus 4 over 5 which is the same thing this is 4 so this is 4 and 4/5 so that's one way to think about it the other way you could think of this as 4/5 times 6 which is the same thing as 4/5 plus 4/5 plus 4/5 I think you get the idea plus 4/5 plus 4/5 plus 4/5 we took literally 6 4/5 and added them together and what's this going to be equal to well it's going to be 4 plus 4 plus 4 plus 4 plus 4 plus 4 over 5 this is how many fifths we have well this is 6 times 4 or you could say 4 times 6 over 5 which is equal to 24 over 5 which we've already figured out is 4 and 4/5 so either way we're going to drink 4 and 4/5 gallons per month now let's try to answer the actual question between what two whole numbers well between 4 & 5 gallons a month 4 and 4/5 is right in Queen four and five we got it right