Question

1.1 exercise set

1. fill in the blanks.

a) a fraction with the denominator larger than the numerator is a ____________ fraction.
b) the fractions \\(\frac{3}{2}\\) and \\(\frac{4}{4}\\) are examples of ____________ fractions.
c) the fractions \\(\frac{1}{2}\\), \\(\frac{4}{8}\\), and \\(\frac{5}{10}\\) are examples of ____________ fractions

1. identify a fraction represented by the shaded portion of each figure.

a) circle divided into 4 parts, 1 shaded ______
b) circle divided into 3 parts, 2 shaded ______
c) rectangle divided into 4 parts, 2 shaded ______
d) rectangle divided into 5 parts, 2 shaded ______
e) two rectangles, first fully shaded, second half shaded ______
f) three pentagons, first two fully shaded, third 2/5 shaded ______
g) two hexagons, both fully shaded ______
h) two triangles, first fully shaded (divided into 4 parts), second 3/4 shaded ______
draw a circular diagram to represent the fraction.
a) \\(\frac{2}{5}\\) diagram
b) fraction partially visible diagram

Explanation:

Step1: Classify fraction types

Part a:

A fraction where denominator > numerator is a proper fraction.

Part b:

$\frac{3}{2}$ (3>2) and $\frac{4}{4}$ (4=4) are improper/ whole fractions.

Part c:

$\frac{1}{2}$, $\frac{4}{8}=\frac{1}{2}$, $\frac{5}{10}=\frac{1}{2}$ are equivalent fractions.

Step2: Find shaded fractions

Part a:

Circle split into 4 parts, 1 shaded: $\frac{1}{4}$

Part b:

Circle split into 3 parts, 2 shaded: $\frac{2}{3}$

Part c:

Rectangle split into 4 parts, 2 shaded: $\frac{2}{4}=\frac{1}{2}$

Part d:

Rectangle split into 5 parts, 2 shaded: $\frac{2}{5}$

Part e:

2 rectangles (each 2 parts), 3 shaded: $\frac{3}{4}$

Part f:

3 pentagons (each 5 parts), 12 shaded: $\frac{12}{5}=2\frac{2}{5}$

Part g:

2 hexagons (each 6 parts), 12 shaded: $\frac{12}{12}=2$

Part h:

2 triangles (each 4 parts), 7 shaded: $\frac{7}{4}=1\frac{3}{4}$

Step3: Verify circular diagram

For $\frac{2}{5}$: Split a circle into 5 equal slices, shade 2 slices.

Answer:

1. Fill in the blanks

a) proper
b) improper (or whole)
c) equivalent

2. Shaded fractions

a) $\frac{1}{4}$
b) $\frac{2}{3}$
c) $\frac{1}{2}$
d) $\frac{2}{5}$
e) $\frac{3}{4}$
f) $2\frac{2}{5}$
g) $2$
h) $1\frac{3}{4}$

Draw a circular diagram

a) A circle divided into 5 equal sectors, with 2 sectors shaded.