Question

answer all the the questions neatly . i will mark you as brainlyiest

Answer 1

Answer :-

Express as mixed fraction :-

$\sf a)\: \dfrac{30}{7}$

$\sf\Large\qquad\quad4\\ \begin{array}{cc} \cline{2 - 2}\sf 7)&\sf \ 30\\&\sf - 28 \\ \cline{2-2}& \sf \ \ \ \ 2\\ \end{array}$

$\sf Divisor \rightarrow 7$

$\sf Quotient \rightarrow 4$

$\sf Remainder \rightarrow 2$

$\sf Mixed fraction = Quotient \dfrac{remainder}{divisor}$

$\boxed{\sf \dfrac{30}{7} = 4 \dfrac{2}{7}}$

$\sf b) \: \dfrac{51}{9}$

$\sf\Large\qquad\quad5\\ \begin{array}{cc} \cline{2 - 2}\sf 9)&\sf \ 51\\&\sf - 45 \\ \cline{2-2}& \sf \ \ \ \ 6\\ \end{array}$

$\sf Divisor \rightarrow 9$

$\sf Quotient \rightarrow 5$

$\sf Remainder \rightarrow 6$

$\boxed{\sf\dfrac{51}{9} = 5 \dfrac{6}{9}}$

Express as improper fraction :-

$\sf a) \:7 \dfrac{3}{9}$

Mixed fraction into improper fraction = Whole part × Denominator + numerator / Denominator

$\implies\sf \dfrac{7 \times 9 + 3}{9}$

$\implies\sf \dfrac{63 + 3}{9}$

$\implies\sf \dfrac{66}{9}$

$\boxed{\sf7 \dfrac{3}{9} = \dfrac{66}{9}}$

$\sf b) \:11 \dfrac{1}{13}$

$\implies\sf \dfrac{11 \times 13 + 1}{13}$

$\implies\sf \dfrac{143 + 1}{13}$

$\implies\sf \dfrac{144}{13}$

$\boxed{\sf11 \dfrac{1}{13} = \dfrac{144}{13}}$