Question

find the perimeter. write your answer as a fraction or as a whole or mixed number. $2\frac{1}{3}$ cm, $1\frac{4}{9}$ cm, $1\frac{2}{3}$ cm triangle image centimeters

Explanation:

Step1: Convert mixed numbers to improper fractions

• \(2\frac{1}{3}=\frac{2\times3 + 1}{3}=\frac{7}{3}\)
• \(1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}\)
• \(1\frac{4}{9}=\frac{1\times9 + 4}{9}=\frac{13}{9}\)

Step2: Find a common denominator (9) and add the fractions

• \(\frac{7}{3}=\frac{7\times3}{3\times3}=\frac{21}{9}\)
• \(\frac{5}{3}=\frac{5\times3}{3\times3}=\frac{15}{9}\)
• Now add: \(\frac{21}{9}+\frac{15}{9}+\frac{13}{9}=\frac{21 + 15 + 13}{9}=\frac{49}{9}\)

Step3: Convert back to mixed number

• \(\frac{49}{9}=5\frac{4}{9}\)

Answer:

\(5\frac{4}{9}\)