Question

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Answer 1

$\Large{\underbrace{\sf{\orange{Required\:Solution:}}}}$

(a) $\displaystyle{\bf{3\times 5 \dfrac{1}{5}}}$

Sol'. $\displaystyle{\sf{3 \times \dfrac{5\times 5+1}{5}}}$

$\longrightarrow{\sf{3 \times \dfrac{26}{5}}}$

$\longrightarrow{\boxed{\sf{\orange{\dfrac{78}{5}}}}}$

_____________

(b) $\displaystyle{\bf{5\times 6 \dfrac{3}{4}}}$

Sol'. $\displaystyle{\sf{5 \times \dfrac{4\times 6+3}{4}}}$

$\longrightarrow{\sf{5 \times \dfrac{27}{4}}}$

$\longrightarrow{\boxed{\sf{\orange{\dfrac{135}{4}}}}}$

_____________

(c) $\displaystyle{\bf{7\times 2 \dfrac{1}{4}}}$

Sol'. $\displaystyle{\sf{7 \times \dfrac{4\times 2+1}{4}}}$

$\longrightarrow{\sf{7 \times \dfrac{9}{4}}}$

$\longrightarrow{\boxed{\sf{\orange{\dfrac{63}{4}}}}}$

_____________

(d) $\displaystyle{\bf{4\times 6 \dfrac{1}{3}}}$

Sol'. $\displaystyle{\sf{4 \times \dfrac{3\times 6+1}{3}}}$

$\longrightarrow{\sf{4 \times \dfrac{19}{3}}}$

$\longrightarrow{\boxed{\sf{\orange{\dfrac{76}{3}}}}}$

______________

(e) $\displaystyle{\bf{3 \dfrac{1}{4} \times 6}}$

Sol'. $\displaystyle{\sf{ \dfrac{4\times 3 +1}{4} \times 6}}$

$\longrightarrow{\sf{\dfrac{13}{4} \times 6}}$

$\longrightarrow{\boxed{\sf{\orange{ \dfrac{78}{4}}}}}$

______________

(f) $\displaystyle{\bf{3 \dfrac{2}{5} \times 8}}$

Sol'. $\displaystyle{\sf{ \dfrac{5\times 3 +2}{5} \times 8}}$

$\longrightarrow{\sf{\dfrac{17}{5} \times 8}}$

$\longrightarrow{\boxed{\sf{\orange{ \dfrac{136}{5}}}}}$

__________________________