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Answer»

\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}}}}}

__________________________



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