Find: (a) \(\frac{1}{2}\) of (i) 2 \(\frac{3}{4}\) (ii) 4 \(\frac{2}{9}\)
(b) \(\frac{5}{8}\) of (i) 3 \(\frac{5}{6}\) (ii) 9 \(\frac{2}{3}\)
(a)
(i) \(\frac{1}{2}\) × 2 \(\frac{3}{4}\)= \(\frac{1}{2}\) × \(\frac{11}{4}\) = \(\frac{11}{8}\) = 1 \(\frac{3}{8}\)
(ii) \(\frac{1}{2}\)× 4 \(\frac{2}{9}\) = \(\frac{1}{2}\) × \(\frac{38}{9}\) = \(\frac{19}{9}\)= 2\(\frac{1}{9}\)
(b)
(i) \(\frac{5}{8}\) × 3 \(\frac{5}{6}\) = \(\frac{5}{8}\) × \(\frac{23}{6}\) = \(\frac{115}{48}\) =2 \(\frac{19}{48}\)
(ii) \(\frac{5}{8}\)× 9 \(\frac{2}{3}\) = \(\frac{5}{8}\) × \(\frac{29}{3}\)=\(\frac{145}{24}\)= 6 \(\frac{1}{24}\)
Match the items given in Column I with one or more items of Column II.
Column I | Column II |
(a) A plane mirror | (i) Used as a magnifying glass. |
(b) A convex mirror | (ii) Can form image of objects spread over a large area. |
(c) A convex lens | (iii) Used by dentists to see enlarged image of teeth. |
(d) A concave mirror | (iv) The image is always inverted and magnified. |
(e) A concave lens | (v) The image is erect and of the same size as the object. |
- | (vi) The image is erect and smaller in size than the object. |