[tex]1\dfrac{7}{10}+3\dfrac{13}{20}[/tex]
Method 1.
Find LCM of denominators:
LCM(10, 20) = 20
[tex]1\dfrac{7\cdot2}{10\cdot2}+3\dfrac{13}{20}=1\dfrac{14}{20}+3\dfrac{13}{20}=(1+3)+\left(\dfrac{14+13}{20}\right)=4\dfrac{27}{20}=4\dfrac{20+7}{20}=5\dfrac{7}{20}[/tex]
Method 2.
Convert mixed numbers to decimal:
[tex]1\dfrac{7}{10}=1.7\\\\3\dfrac{13}{20}=3\dfrac{13\cdot5}{20\cdot5}=3\dfrac{65}{100}=3.65\\\\1\dfrac{7}{10}+3\dfrac{13}{20}=1.7+3.65=5.35[/tex]
