Question

$10 \frac{3}{5} + 2 \frac{5}{6} - 5 \frac{3}{5 }$

Answer 1

$\textit{\underline{Given:}}$

= $\small{\bold{10 \frac{3}{5} + 2 \frac{5}{6} - 5 \frac{3}{5} }}$

$\textit{\underline{First, convert it into a proper fraction:}}$

$\small{\bold{\implies{\frac{53}{5} + \frac{17}{6} - \frac{28}{5} }}}$

$\textit{\underline{Find L.C.M:}}$

$\large{\bold{\implies{L.C.M \: of \: 5 \: and \: 6 = 30}}}$

$\textit{\underline{Solve:}}$

$\small{\bold{\implies{\frac{(53×5) + (17×6) - (28×5)} {30} }}}$

$\small{\bold{\implies{\frac{265 + 102 - 140} {30} }}}$

$\small{\bold{\implies{\blue{\fbox{\frac{227}{30} }}}}}$

Answer 2

Hello!

$10\dfrac{3}{5} + 2\dfrac{5}{6} - 5\dfrac{3}{5} \\ \\ \implies \dfrac{53}{5} + \dfrac{17}{6} - \dfrac{28}{5} \\ \\ \implies \dfrac{(53 \times 5) + (17 \times 6) - (28 \times 5)}{30} \\ \\ \implies \dfrac{265 + 102 - 140}{30} \implies \boxed{\red{\bf{\dfrac{227}{30}}}}$

Cheers!