Question

# Add. (i) $6\frac{1}{3}+2\frac{1}{3}$ (ii) $1\frac{1}{4}+3\frac{1}{2}$ (iii) $5\frac{1}{5}+2\frac{1}{7}$ (iv) $3\frac{1}{5}+2\frac{1}{3}$

Solution

## (i)  $6\frac{1}{3}+2\frac{1}{3}=\frac{6×3+1}{3}+\frac{2×3+1}{3}\phantom{\rule{0ex}{0ex}}=\frac{18+1}{3}+\frac{6+1}{3}\phantom{\rule{0ex}{0ex}}=\frac{19}{3}+\frac{7}{3}$ $=\frac{19+7}{3}\phantom{\rule{0ex}{0ex}}=\frac{26}{3}\phantom{\rule{0ex}{0ex}}=\frac{24+2}{3}$ $=\frac{24}{3}+\frac{2}{3}\phantom{\rule{0ex}{0ex}}=8+\frac{2}{3}\phantom{\rule{0ex}{0ex}}=8\frac{2}{3}$ (ii)  $1\frac{1}{4}+3\frac{1}{2}=\frac{1×4+1}{4}+\frac{3×2+1}{2}\phantom{\rule{0ex}{0ex}}=\frac{5}{4}+\frac{7}{2}\phantom{\rule{0ex}{0ex}}=\frac{5}{4}+\frac{7×2}{2×2}$ $=\frac{5}{4}+\frac{14}{4}\phantom{\rule{0ex}{0ex}}=\frac{5+14}{4}\phantom{\rule{0ex}{0ex}}=\frac{19}{4}\phantom{\rule{0ex}{0ex}}=\frac{16+3}{4}$ $=\frac{16}{4}+\frac{3}{4}\phantom{\rule{0ex}{0ex}}=4+\frac{3}{4}\phantom{\rule{0ex}{0ex}}=4\frac{3}{4}$ (iii)  $5\frac{1}{5}+2\frac{1}{7}=\frac{5×5+1}{5}+\frac{2×7+1}{7}\phantom{\rule{0ex}{0ex}}=\frac{26}{5}+\frac{15}{7}\phantom{\rule{0ex}{0ex}}=\frac{26×7}{5×7}+\frac{15×5}{7×5}\phantom{\rule{0ex}{0ex}}$ $=\frac{182}{35}+\frac{75}{35}\phantom{\rule{0ex}{0ex}}=\frac{182+75}{35}\phantom{\rule{0ex}{0ex}}=\frac{257}{35}$ $=\frac{245+12}{35}\phantom{\rule{0ex}{0ex}}=\frac{245}{35}+\frac{12}{35}\phantom{\rule{0ex}{0ex}}=7+\frac{12}{35}\phantom{\rule{0ex}{0ex}}=7\frac{12}{35}$ (iv) $3\frac{1}{5}+2\frac{1}{3}$ $3\frac{1}{5}+2\frac{1}{3}=\frac{3×5+1}{5}+\frac{2×3+1}{3}\phantom{\rule{0ex}{0ex}}=\frac{16}{5}+\frac{7}{3}\phantom{\rule{0ex}{0ex}}=\frac{16×3}{5×3}+\frac{7×5}{3×5}\phantom{\rule{0ex}{0ex}}$ $=\frac{48}{15}+\frac{35}{15}\phantom{\rule{0ex}{0ex}}=\frac{48+35}{15}\phantom{\rule{0ex}{0ex}}=\frac{83}{15}$ $=\frac{75+8}{15}\phantom{\rule{0ex}{0ex}}=\frac{75}{15}+\frac{8}{15}\phantom{\rule{0ex}{0ex}}=5+\frac{8}{15}\phantom{\rule{0ex}{0ex}}=5\frac{8}{15}$MathematicsMathematics (Solutions)Standard VI

Suggest Corrections
Â
0

Similar questions
View More

Same exercise questions
View More

People also searched for
View More