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10)
a)![\dfrac{7}{13}+\dfrac{2}{13}=\dfrac{7+2}{13}=\dfrac{9}{13} \dfrac{7}{13}+\dfrac{2}{13}=\dfrac{7+2}{13}=\dfrac{9}{13}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B13%7D%2B%5Cdfrac%7B2%7D%7B13%7D%3D%5Cdfrac%7B7%2B2%7D%7B13%7D%3D%5Cdfrac%7B9%7D%7B13%7D)
b)![\dfrac{8}{15}-\dfrac{2}{15}=\dfrac{8-2}{15}=\dfrac{6}{15}=\dfrac{2}{5} \dfrac{8}{15}-\dfrac{2}{15}=\dfrac{8-2}{15}=\dfrac{6}{15}=\dfrac{2}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B15%7D-%5Cdfrac%7B2%7D%7B15%7D%3D%5Cdfrac%7B8-2%7D%7B15%7D%3D%5Cdfrac%7B6%7D%7B15%7D%3D%5Cdfrac%7B2%7D%7B5%7D)
c)![\dfrac{9}{11}+\dfrac{10}{11}=\dfrac{9+10}{11}=\dfrac{19}{11} \dfrac{9}{11}+\dfrac{10}{11}=\dfrac{9+10}{11}=\dfrac{19}{11}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B11%7D%2B%5Cdfrac%7B10%7D%7B11%7D%3D%5Cdfrac%7B9%2B10%7D%7B11%7D%3D%5Cdfrac%7B19%7D%7B11%7D)
d)![\dfrac{10}{3}-\dfrac{7}{3}=\dfrac{10-7}{3}=\dfrac{3}{3}=1 \dfrac{10}{3}-\dfrac{7}{3}=\dfrac{10-7}{3}=\dfrac{3}{3}=1](https://tex.z-dn.net/?f=%5Cdfrac%7B10%7D%7B3%7D-%5Cdfrac%7B7%7D%7B3%7D%3D%5Cdfrac%7B10-7%7D%7B3%7D%3D%5Cdfrac%7B3%7D%7B3%7D%3D1)
e)![\dfrac{13}{10}+\dfrac{29}{10}=\dfrac{13+29}{10}=\dfrac{42}{10}=\dfrac{21}{5} \dfrac{13}{10}+\dfrac{29}{10}=\dfrac{13+29}{10}=\dfrac{42}{10}=\dfrac{21}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B13%7D%7B10%7D%2B%5Cdfrac%7B29%7D%7B10%7D%3D%5Cdfrac%7B13%2B29%7D%7B10%7D%3D%5Cdfrac%7B42%7D%7B10%7D%3D%5Cdfrac%7B21%7D%7B5%7D)
f)![\dfrac{31}{6}-\dfrac{17}{6}=\dfrac{31-17}{6}=\dfrac{14}{6}=\dfrac{7}{3} \dfrac{31}{6}-\dfrac{17}{6}=\dfrac{31-17}{6}=\dfrac{14}{6}=\dfrac{7}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B31%7D%7B6%7D-%5Cdfrac%7B17%7D%7B6%7D%3D%5Cdfrac%7B31-17%7D%7B6%7D%3D%5Cdfrac%7B14%7D%7B6%7D%3D%5Cdfrac%7B7%7D%7B3%7D)
g)![\dfrac{5}{4}+\dfrac{2}{4}=\dfrac{5+2}{4}=\dfrac{7}{4} \dfrac{5}{4}+\dfrac{2}{4}=\dfrac{5+2}{4}=\dfrac{7}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B4%7D%2B%5Cdfrac%7B2%7D%7B4%7D%3D%5Cdfrac%7B5%2B2%7D%7B4%7D%3D%5Cdfrac%7B7%7D%7B4%7D)
h)![\dfrac{11}{6}+\dfrac{1}{6}+\dfrac{5}{6}=\dfrac{11+1+5}{6}=\dfrac{17}{6} \dfrac{11}{6}+\dfrac{1}{6}+\dfrac{5}{6}=\dfrac{11+1+5}{6}=\dfrac{17}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B11%7D%7B6%7D%2B%5Cdfrac%7B1%7D%7B6%7D%2B%5Cdfrac%7B5%7D%7B6%7D%3D%5Cdfrac%7B11%2B1%2B5%7D%7B6%7D%3D%5Cdfrac%7B17%7D%7B6%7D)
11)
a)![\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+6}{15}=\dfrac{11}{15} \dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+6}{15}=\dfrac{11}{15}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B2%7D%7B5%7D%3D%5Cdfrac%7B5%2B6%7D%7B15%7D%3D%5Cdfrac%7B11%7D%7B15%7D)
b)![\dfrac{7}{2}+\dfrac{2}{3}=\dfrac{21+4}{6}=\dfrac{25}{6} \dfrac{7}{2}+\dfrac{2}{3}=\dfrac{21+4}{6}=\dfrac{25}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B2%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B21%2B4%7D%7B6%7D%3D%5Cdfrac%7B25%7D%7B6%7D)
c)![2+\dfrac{1}{4}=\dfrac{8+1}{4}=\dfrac{9}{4} 2+\dfrac{1}{4}=\dfrac{8+1}{4}=\dfrac{9}{4}](https://tex.z-dn.net/?f=2%2B%5Cdfrac%7B1%7D%7B4%7D%3D%5Cdfrac%7B8%2B1%7D%7B4%7D%3D%5Cdfrac%7B9%7D%7B4%7D)
d)![3\dfrac{1}{5}+2\dfrac{3}{5}=\dfrac{16}{5}+\dfrac{13}{5}=\dfrac{16+13}{5}=\dfrac{29}{5} 3\dfrac{1}{5}+2\dfrac{3}{5}=\dfrac{16}{5}+\dfrac{13}{5}=\dfrac{16+13}{5}=\dfrac{29}{5}](https://tex.z-dn.net/?f=3%5Cdfrac%7B1%7D%7B5%7D%2B2%5Cdfrac%7B3%7D%7B5%7D%3D%5Cdfrac%7B16%7D%7B5%7D%2B%5Cdfrac%7B13%7D%7B5%7D%3D%5Cdfrac%7B16%2B13%7D%7B5%7D%3D%5Cdfrac%7B29%7D%7B5%7D)
e)![\dfrac{5}{3}+\dfrac{4}{5}+\dfrac{7}{15}=\dfrac{25+12+7}{15}=\dfrac{44}{15} \dfrac{5}{3}+\dfrac{4}{5}+\dfrac{7}{15}=\dfrac{25+12+7}{15}=\dfrac{44}{15}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B3%7D%2B%5Cdfrac%7B4%7D%7B5%7D%2B%5Cdfrac%7B7%7D%7B15%7D%3D%5Cdfrac%7B25%2B12%2B7%7D%7B15%7D%3D%5Cdfrac%7B44%7D%7B15%7D)
f)![4-\dfrac{1}{7}=\dfrac{28-1}{7}=\dfrac{27}{7} 4-\dfrac{1}{7}=\dfrac{28-1}{7}=\dfrac{27}{7}](https://tex.z-dn.net/?f=4-%5Cdfrac%7B1%7D%7B7%7D%3D%5Cdfrac%7B28-1%7D%7B7%7D%3D%5Cdfrac%7B27%7D%7B7%7D)
i)![\dfrac{3}{2}+\dfrac{2}{3}=\dfrac{9+4}{6}=\dfrac{13}{6} \dfrac{3}{2}+\dfrac{2}{3}=\dfrac{9+4}{6}=\dfrac{13}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B9%2B4%7D%7B6%7D%3D%5Cdfrac%7B13%7D%7B6%7D)
j)![2\dfrac{2}{5}+\dfrac{11}{2}+\dfrac{1}{3}=\dfrac{12}{5}+\dfrac{11}{2}+\dfrac{1}{3}=\dfrac{72+165+10}{30}=\dfrac{247}{30} 2\dfrac{2}{5}+\dfrac{11}{2}+\dfrac{1}{3}=\dfrac{12}{5}+\dfrac{11}{2}+\dfrac{1}{3}=\dfrac{72+165+10}{30}=\dfrac{247}{30}](https://tex.z-dn.net/?f=2%5Cdfrac%7B2%7D%7B5%7D%2B%5Cdfrac%7B11%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7B5%7D%2B%5Cdfrac%7B11%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B72%2B165%2B10%7D%7B30%7D%3D%5Cdfrac%7B247%7D%7B30%7D)
k)![\dfrac{7}{12}+\dfrac{5}{18}=\dfrac{21+10}{36}=\dfrac{31]{36} \dfrac{7}{12}+\dfrac{5}{18}=\dfrac{21+10}{36}=\dfrac{31]{36}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B12%7D%2B%5Cdfrac%7B5%7D%7B18%7D%3D%5Cdfrac%7B21%2B10%7D%7B36%7D%3D%5Cdfrac%7B31%5D%7B36%7D)
l)![\dfrac{1}{6}+\dfrac{5}{4}+\dfrac{2}{3}=\dfrac{2+15+8}{12}=\dfrac{25}{12} \dfrac{1}{6}+\dfrac{5}{4}+\dfrac{2}{3}=\dfrac{2+15+8}{12}=\dfrac{25}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B6%7D%2B%5Cdfrac%7B5%7D%7B4%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B2%2B15%2B8%7D%7B12%7D%3D%5Cdfrac%7B25%7D%7B12%7D)
m)![\dfrac{9}{4}+\dfrac{2}{3}+\dfrac{5}{12}=\dfrac{27+8+5}{12}=\dfrac{40}{12}=\dfrac{10}{3} \dfrac{9}{4}+\dfrac{2}{3}+\dfrac{5}{12}=\dfrac{27+8+5}{12}=\dfrac{40}{12}=\dfrac{10}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B4%7D%2B%5Cdfrac%7B2%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B12%7D%3D%5Cdfrac%7B27%2B8%2B5%7D%7B12%7D%3D%5Cdfrac%7B40%7D%7B12%7D%3D%5Cdfrac%7B10%7D%7B3%7D)
n)![\dfrac{3}{2}-\dfrac{2}{3}=\dfrac{9-4}{6}=\dfrac{5}{6} \dfrac{3}{2}-\dfrac{2}{3}=\dfrac{9-4}{6}=\dfrac{5}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D-%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B9-4%7D%7B6%7D%3D%5Cdfrac%7B5%7D%7B6%7D)
q)![2-\dfrac{7}{6}+\dfrac{3}{4}=\dfrac{24-14+9}{12}=\dfrac{19}{12} 2-\dfrac{7}{6}+\dfrac{3}{4}=\dfrac{24-14+9}{12}=\dfrac{19}{12}](https://tex.z-dn.net/?f=2-%5Cdfrac%7B7%7D%7B6%7D%2B%5Cdfrac%7B3%7D%7B4%7D%3D%5Cdfrac%7B24-14%2B9%7D%7B12%7D%3D%5Cdfrac%7B19%7D%7B12%7D)
r)![\dfrac{3}{4}+\dfrac{5}{6}-\dfrac{1}{2}=\dfrac{9+10-6}{12}=\dfrac{13}{12} \dfrac{3}{4}+\dfrac{5}{6}-\dfrac{1}{2}=\dfrac{9+10-6}{12}=\dfrac{13}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%2B%5Cdfrac%7B5%7D%7B6%7D-%5Cdfrac%7B1%7D%7B2%7D%3D%5Cdfrac%7B9%2B10-6%7D%7B12%7D%3D%5Cdfrac%7B13%7D%7B12%7D)
s)![1\dfrac{4}{5}-1\dfrac{2}{3}+\dfrac{7}{10}=\dfrac{9}{5}-\dfrac{5}{3}+\dfrac{7}{10}=\dfrac{270-250+35}{150}=\dfrac{55}{150}=\dfrac{11}{30} 1\dfrac{4}{5}-1\dfrac{2}{3}+\dfrac{7}{10}=\dfrac{9}{5}-\dfrac{5}{3}+\dfrac{7}{10}=\dfrac{270-250+35}{150}=\dfrac{55}{150}=\dfrac{11}{30}](https://tex.z-dn.net/?f=1%5Cdfrac%7B4%7D%7B5%7D-1%5Cdfrac%7B2%7D%7B3%7D%2B%5Cdfrac%7B7%7D%7B10%7D%3D%5Cdfrac%7B9%7D%7B5%7D-%5Cdfrac%7B5%7D%7B3%7D%2B%5Cdfrac%7B7%7D%7B10%7D%3D%5Cdfrac%7B270-250%2B35%7D%7B150%7D%3D%5Cdfrac%7B55%7D%7B150%7D%3D%5Cdfrac%7B11%7D%7B30%7D)
t)![\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{6}-\dfrac{3}{4}=\dfrac{6-4+10-9}{12}=\dfrac{3}{12}=\dfrac{1}{4} \dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{6}-\dfrac{3}{4}=\dfrac{6-4+10-9}{12}=\dfrac{3}{12}=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B6%7D-%5Cdfrac%7B3%7D%7B4%7D%3D%5Cdfrac%7B6-4%2B10-9%7D%7B12%7D%3D%5Cdfrac%7B3%7D%7B12%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
u)![\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{5}{6}=\dfrac{3+2+5}{6}=\dfrac{10}{6}=\dfrac{5}{3} \dfrac{1}{2}+\dfrac{1}{3}+\dfrac{5}{6}=\dfrac{3+2+5}{6}=\dfrac{10}{6}=\dfrac{5}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B5%7D%7B6%7D%3D%5Cdfrac%7B3%2B2%2B5%7D%7B6%7D%3D%5Cdfrac%7B10%7D%7B6%7D%3D%5Cdfrac%7B5%7D%7B3%7D)
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