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CCSS.Math:

Gina had 2/3 cup cups of laundry detergent she used half of the detergent on Friday to wash all of her sheets how much detergent does she have left so we're essentially going to take half of two-thirds or one-half times two-thirds so let's see which of these choices match up so we should be taking 1/2 times two-thirds well here they're taking two-thirds minus 1/2 so this isn't going to be right here they're going to be taking let's see 1/3 because 2/3 times 1/2 this is exactly what we want to do we want to take 1/2 of 2/3 and we multiply the numerators 2 times 1 is to multiply the denominators 3 times 2 is 6 you have to 6 you could say that 2 6 has either been used up or 2/6 is left and 2/6 is the exact same thing as 1/3 divide the numerator and the denominator by 2 so this looks right and so here 1/6 cup well we know it's not 1/6 cup we know it's 1/3 cup so here 1/3 cup because 2/3 is equal to 1/3 plus 1/3 that's right so half of 2/3 must be 1/3 this is exactly right as well these are both completely reasonable ways to getting the right answer that gina has 1/3 she used a third of a cup of laundry detergent and she has a third left