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

Answer:

15.83 servings or $15\frac{5}{6}$ servings

Step-by-step explanation:

Lois made a dish with $6\frac{1}{3}$ cups of pasta.

$6\frac{1}{3}$ cups = 6.33 cups

One serving of the pasta is = 0.4 cups

Total servings in 6.33 cups of pasta =  $\frac{6.33}{0.4}$

                                                           = 15.825 ≈ 15.83

15.83  or $15\frac{5}{6}$ 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.

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