Question

A cook has 11 7/8 cups of flour. He uses 2/3 of his flour on Saturday morning. Estimate how many cups he used. Show how you estimated.

Answer 1

namely, how many cups is it 2/3 cups of 11⅞ cups?

let's firstly convert the mixed fraction to improper fraction, bearing in mind that two thirds of that much is simply their product.

`\bf \stackrel{mixed}{11(7)/(8)}\implies \cfrac{11\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{95}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{95}{8}\cdot \cfrac{2}{3}\implies \cfrac{95}{3}\cdot \cfrac{2}{8}\implies \cfrac{95}{3}\cdot \cfrac{1}{4}\implies \cfrac{95}{12}\implies 7(11)/(12)`

Answer 2

11 (if you wanna know how many cups [which i mean by 2/3] it is 1)

Explanation:

Well, to start, a cook has 11 7/8 cups of flour, right? Well, if you subtract 11 7/8 by 2/3 you get 11 5/24. As an estimate, you would get just plain 11 because there is three numbers when you estimate, 11, 11 1/2, or 12. 11 5/24 is more closer to 11 (because 1/2 would be 11 12/24, and 12 would be 11 13/24 or more until 12)

Hope it helped...