find 1\\frac{2}{3}+1\\frac{1}{2}. now, find the sum. 1\\frac{2}{3}+1\\frac{1}{2}=1\\frac{4}{6}+1\\frac{3}{6}=…

find 1\\frac{2}{3}+1\\frac{1}{2}. now, find the sum. 1\\frac{2}{3}+1\\frac{1}{2}=1\\frac{4}{6}+1\\frac{3}{6}=2\\frac{1}{6}

find 1\\frac{2}{3}+1\\frac{1}{2}. now, find the sum. 1\\frac{2}{3}+1\\frac{1}{2}=1\\frac{4}{6}+1\\frac{3}{6}=2\\frac{1}{6}

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$, $1\frac{1}{2}=\frac{1\times2+1}{2}=\frac{3}{2}$

Step2: Find a common denominator

The common denominator of 3 and 2 is 6. $\frac{5}{3}=\frac{5\times2}{3\times2}=\frac{10}{6}$, $\frac{3}{2}=\frac{3\times3}{2\times3}=\frac{9}{6}$

Step3: Add the fractions

$\frac{10}{6}+\frac{9}{6}=\frac{10 + 9}{6}=\frac{19}{6}$

Step4: Convert back to a mixed - number

$\frac{19}{6}=3\frac{1}{6}$

Answer:

$3\frac{1}{6}$