Question

B) 7/12 : 3 1/16 f) 5 1/6 : 6 8/9 h) 3 3/4 : 1 1/4​

Answer 1

$\bf{b) \: \frac{7}{12} \div 3 \frac{1}{16} = \frac{7}{12} \div \frac{3 \times 16 + 1}{16} }$

$\bf{ \frac{7}{12} \div \frac{49}{16} = \frac{\not7}{\not12} \times \frac{\not16}{\not49} = \frac{1}{3} \times \frac{4}{7} }$

$\bf{ \frac{1 \times 4}{3 \times 7} = \boxed{\bf \frac{4}{21} }}$

$\bf{f) \: 5 \frac{1}{6} \div 6 \frac{8}{9} = \frac{5 \times 6 + 1}{6} \div \frac{6 \times 9 + 8}{9} }$

$\bf{ \frac{31}{6} \div \frac{ \not62}{9} = \frac{ \not31}{ \not6} \times \frac{\not9}{\not62} = \frac{1}{2} \times \frac{3}{2} }$

$\bf{ \frac{1 \times 3}{2 \times2 } = \boxed{\bf \frac{3}{4} }}$

$\bf{h) \: 3 \frac{3}{4} \div 1 \frac{1}{4} = \frac{3 \times 4 + 3}{4} \div \frac{1 \times 4 + 1}{4} }$

$\bf{ \frac{15}{4} \div \frac{5}{4} = \frac{\not15}{\not4} \times \frac{\not4}{\not5} = \boxed{\bf 3} }$

Bafta ! :)