find the perimeter of the figure.\n3 1/3 in.\n4 1/6 in.\n5 1/2 in.\nquestion 10\nayana bought a container of…

Explanation:

Step1: Convert mixed - numbers to improper fractions for perimeter

$3\frac{1}{3}=\frac{3\times3 + 1}{3}=\frac{10}{3}$, $4\frac{1}{6}=\frac{4\times6+1}{6}=\frac{25}{6}$, $5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{11}{2}$

Step2: Find a common denominator

The common denominator of 3, 6 and 2 is 6. $\frac{10}{3}=\frac{10\times2}{3\times2}=\frac{20}{6}$, $\frac{11}{2}=\frac{11\times3}{2\times3}=\frac{33}{6}$

Step3: Add the fractions for perimeter

$\frac{20}{6}+\frac{25}{6}+\frac{33}{6}=\frac{20 + 25+33}{6}=\frac{78}{6}=13$ inches

Step4: Solve fraction problem for Ayana

Find a common denominator for $\frac{1}{4}$ and $\frac{1}{3}$. The common denominator is 12. $\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$, $\frac{1}{3}=\frac{1\times4}{3\times4}=\frac{4}{12}$

Step5: Calculate the fraction Ayana kept

The sum of the fractions she gave away is $\frac{3}{12}+\frac{4}{12}=\frac{3 + 4}{12}=\frac{7}{12}$. The fraction she kept is $1-\frac{7}{12}=\frac{12-7}{12}=\frac{5}{12}$

Answer:

The perimeter of the figure is 13 inches. A. $\frac{5}{12}$