Express the following fractions using diagrams and by shading parts of shapes: 1/4, 2/3, 3/4, 5/6. Also, answer questions about fractions of a whole, equal parts, and representing fractions.

Step 1: Solve Question 1. a) To show (1)/(4), draw a shape (e.g., a rectangle or circle) divided into 4 equal parts. Shade 1 of these parts. b) To show (2)/(3), draw a shape (e.g., a rectangle or circle) divided into 3 equal parts. Shade 2 of these parts. Step 2: Solve Question 2. a) The given rectangle is divided into 4 equal parts. To shade (3)/(4), shade 3 of these 4 parts. b) The given circle is divided into 6 equal parts. To shade (5)/(6), shade 5 of these 6 parts. Step 3: Solve Question 3. a) If a bar of chocolate is shared equally among seven friends, it is divided into 7 equal parts. Each part is a seventh. There are 7 sevenths in the bar of chocolate. b) Each child gets one of the seven equal parts. Each child got 1 seventh. c) If three children each get one seventh, then altogether they get 1 seventh + 1 seventh + 1 seventh. Three children got 3 sevenths altogether. d) Seven sevenths as a fraction is (7)/(7). This fraction means the whole bar of chocolate. Step 4: Solve Question 4. a) Count the small squares in the given shape. The shape has 8 equal parts. b) One part is called one eighth. c) One part using a fraction symbol is (1)/(8). d) To draw the same shape and shade in (7)/(8), draw a rectangle divided into 8 equal squares. Shade 7 of these 8 squares. e) If (7)/(8) is shaded, the total number of parts is 8, and 7 are shaded. The number of parts not shaded is 8 - 7 = 1. The fraction not shaded is (1)/(8). Step 5: Solve Question 5. A) The diagram shows a pentagon divided into 5 equal triangles. 2 of these triangles are shaded. The fraction shaded is (2)/(5). The name of the fraction is two-fifths. B) The diagram shows a shape made of 8 equal squares. 4 of these squares are shaded. The fraction shaded is (4)/(8). This can be simplified to (1)/(2). The name of the fraction is four-eighths or one-half. C) The diagram shows a circle divided into 8 equal sectors. 5 of these sectors are shaded. The fraction shaded is (5)/(8). The name of the fraction is five-eighths. Step 6: Solve Question 6. The diagram is a circle divided into 8 equal parts. 5 parts are shaded. To find the fraction not shaded, subtract the shaded fraction from the whole: 1 - (5)/(8) = (8)/(8) - (5)/(8) = (8-5)/(8) = (3)/(8) The fraction that has not been shaded is (3)/(8).