Question

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Answer 1

Step-by-step explanation:

(a)

$2 \frac{1}{2}\div \frac{5}{2}=\dfrac{\frac{2\times2+1}{2}}{\frac{5}{2}}\\\Rightrrow\dfrac{\frac{5}{2}}{\frac{5}{2}}=1$

(b)

$3\div \frac{2}{3}=\dfrac{3}{\frac{2}{3}}=\frac{3\times3}{2}=\frac{9}{2}$

(c)

$6 \frac{3}{4}\div 2\frac{1}{4}=\dfrac{\frac{6\times4+3}{4}}{\frac{2\times4+1}{4}}\\\Rightarrow \dfrac{\frac{27}{4}}{\frac{9}{4}}=\frac{27}{9}=3$

(d)

$\frac{1}{3}\div 3=\dfrac{\frac{1}{3}}{3}=\frac{1}{9}$