answer all the the questions neatly . i will mark you as brainlyiest
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answer all the the questions neatly . i will mark you as brainlyiest
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Answer :-
Express as mixed fraction :-
[tex]\sf a)\: \dfrac{30}{7}[/tex]
[tex]\sf\Large\qquad\quad4\\ \begin{array}{cc} \cline{2 - 2}\sf 7)&\sf \ 30\\&\sf - 28 \\ \cline{2-2}& \sf \ \ \ \ 2\\ \end{array}[/tex]
[tex]\sf Divisor \rightarrow 7[/tex]
[tex]\sf Quotient \rightarrow 4[/tex]
[tex]\sf Remainder \rightarrow 2[/tex]
[tex]\sf Mixed fraction = Quotient \dfrac{remainder}{divisor} [/tex]
[tex]\boxed{\sf \dfrac{30}{7} = 4 \dfrac{2}{7}}[/tex]
[tex]\sf b) \: \dfrac{51}{9}[/tex]
[tex]\sf\Large\qquad\quad5\\ \begin{array}{cc} \cline{2 - 2}\sf 9)&\sf \ 51\\&\sf - 45 \\ \cline{2-2}& \sf \ \ \ \ 6\\ \end{array}[/tex]
[tex]\sf Divisor \rightarrow 9[/tex]
[tex]\sf Quotient \rightarrow 5[/tex]
[tex]\sf Remainder \rightarrow 6[/tex]
[tex]\boxed{\sf\dfrac{51}{9} = 5 \dfrac{6}{9}}[/tex]
Express as improper fraction :-
[tex]\sf a) \:7 \dfrac{3}{9} [/tex]
Mixed fraction into improper fraction = Whole part × Denominator + numerator / Denominator
[tex]\implies\sf \dfrac{7 \times 9 + 3}{9} [/tex]
[tex]\implies\sf \dfrac{63 + 3}{9} [/tex]
[tex]\implies\sf \dfrac{66}{9} [/tex]
[tex]\boxed{\sf7 \dfrac{3}{9} = \dfrac{66}{9}} [/tex]
[tex]\sf b) \:11 \dfrac{1}{13} [/tex]
[tex]\implies\sf \dfrac{11 \times 13 + 1}{13} [/tex]
[tex]\implies\sf \dfrac{143 + 1}{13} [/tex]
[tex]\implies\sf \dfrac{144}{13} [/tex]
[tex]\boxed{\sf11 \dfrac{1}{13} = \dfrac{144}{13}} [/tex]