question_answer 32)

Write these fractions appropriately as additions or subtractions (a) (b) (c)

Answer:

(a) In first figure, fraction for shaded portion \[=\frac{1}{7}<\frac{3}{7}<\frac{7}{7}<\frac{11}{7}<\frac{13}{7}\] In second figure, fraction for shaded portion \[=\frac{13}{7}>\frac{11}{7}>\frac{7}{7}>\frac{3}{7}>\frac{1}{7}\] and in third figure, fraction for shaded portion\[\frac{1}{12},\frac{1}{23},\frac{1}{5},\frac{1}{7},\frac{1}{50},\frac{1}{9},\frac{1}{17}\] Here, third figure represents more shaded portion than first and second figures. So, \[\frac{3}{7},\frac{3}{11},\frac{3}{5},\frac{3}{2},\frac{3}{13},\frac{3}{4},\frac{3}{17}\] \[=50>23>17>12>9>7>5\] The given figure will be as follows: (b) In first figure, fraction for shaded portion = 1 or \[\therefore \] In second figure, fraction for shaded portion \[=\frac{1}{50},\frac{1}{23},\frac{1}{17},\frac{1}{12},\frac{1}{9},\frac{1}{7},\frac{1}{5}\] and in third figure, fraction for shaded portion\[\left[ \begin{align} & \because \frac{1}{50}\text{has larger denominator, so it is } \\ & \text{smallest fraction} \\ \end{align} \right]\] Here, third figure represents less shaded portion than first and second figure. So, \[=\frac{1}{5},\frac{1}{7},\frac{1}{9},\frac{1}{12},\frac{1}{17},\frac{1}{23},\frac{1}{50}\] \[=17>13>11>7>5>4>2\] The given figure is represented as follows: (c) In first figure, fraction for shaded portion \[\therefore \] In second figure, fraction for shaded portion\[=\frac{3}{17},\frac{3}{13},\frac{3}{7},\frac{3}{5},\frac{3}{4},\frac{3}{2}\] and in third figure, fraction for shaded portion \[=\frac{3}{2},\frac{3}{4},\frac{3}{5},\frac{3}{7},\frac{3}{11},\frac{3}{13},\frac{3}{17}\] Here, third figure represents more shaded portion than first and second figures. So, \[\frac{2}{6}+\frac{3}{6}=\frac{2+3}{6}=\frac{5}{6}\] \[=21>15>11>9>8>7\] The given figure is represented as follows: