Respuesta :
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.
[tex]\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}[/tex]
Answer:
15.83 servings or [tex]15\frac{5}{6}[/tex] servings
Step-by-step explanation:
Lois made a dish with [tex]6\frac{1}{3}[/tex] cups of pasta.
[tex]6\frac{1}{3}[/tex] cups = 6.33 cups
One serving of the pasta is = 0.4 cups
Total servings in 6.33 cups of pasta = [tex]\frac{6.33}{0.4}[/tex]
= 15.825 ≈ 15.83
15.83 or [tex]15\frac{5}{6}[/tex] servings of pasta were in the dish Lois made.
