Question

Lois made a dish with 6 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?

Answer 1

15.83 servings or
`15(5)/(6)` servings

Explanation:

Lois made a dish with
`6(1)/(3)` cups of pasta.

`6(1)/(3)` cups = 6.33 cups

One serving of the pasta is = 0.4 cups

Total servings in 6.33 cups of pasta =
`(6.33)/(0.4)`

= 15.825 ≈ 15.83

15.83 or
`15(5)/(6)` servings of pasta were in the dish Lois made.

Answer 2

namely, how many times does 0.4 go into 6⅓? or 6⅓ ÷ 0.4.

first off, let's convert the mixed fraction to improper, and the decimal to a fraction . We can always convert the decimal to a fraction by simply adding as many zeros on the denominator as there are decimals and lose the dot atop, let's do so.

`\bf 0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}~\hfill \stackrel{mixed}{6(1)/(3)}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{How many servings of pasta were in the dish?}}{6(1)/(3)/ 0.4\implies \cfrac{19}{3}/ \cfrac{2}{5}}\implies \cfrac{19}{3}\cdot \cfrac{5}{2}\implies \cfrac{95}{6}\implies 15(5)/(6)`