Simplify : (i) (2frac{2}{3} – (2frac{1}{2} – 1frac{4}{5})) (ii) (frac{3.25 – 1.64}{2.47 – 2.01})

Explanation

(i) (2frac{2}{3} – (2frac{1}{2} – 1frac{4}{5}))

= (2frac{2}{3} – (frac{5}{2} – frac{9}{5}))

= (frac{8}{3} – (frac{25 – 18}{10}))

= (frac{8}{3} – frac{7}{10})

= (frac{24 – 21}{30})

= (frac{3}{30} = frac{1}{10})

(ii) (frac{3.25 – 1.64}{2.47 – 2.01})

= (frac{1.61}{0.46})

= (frac{7}{2})

= (3frac{1}{2})