Question

look at the task below. in each box, you are to draw the next shape with a shaded part that makes the fraction true. then in each box, explain why you made the fraction of it.sample:$\frac{1}{3}$ is less than $\frac{1}{2}$1. is greater than2. is less than3. is greater than4. is less than

Explanation:

Step1: Identify fraction for Q1

Total boxes = 8, shaded = 1. Fraction: $\frac{1}{8}$. Need greater fraction, e.g., $\frac{2}{8}=\frac{1}{4}$.

Step2: Identify fraction for Q2

Total boxes = 4, shaded = 1. Fraction: $\frac{1}{4}$. Need lesser fraction, e.g., $\frac{1}{8}$.

Step3: Identify fraction for Q3

Total boxes = 10, shaded = 1. Fraction: $\frac{1}{10}$. Need greater fraction, e.g., $\frac{3}{10}$.

Step4: Identify fraction for Q4

Total small triangles = 9, shaded = 1. Fraction: $\frac{1}{9}$. Need lesser fraction, e.g., $\frac{1}{18}$.

Answer:

1. A possible fraction greater than $\frac{1}{8}$ is $\frac{1}{4}$ (with a diagram showing 2 out of 8 boxes shaded, or 1 out of 4)
2. A possible fraction less than $\frac{1}{4}$ is $\frac{1}{8}$ (with a diagram showing 1 out of 8 boxes shaded)
3. A possible fraction greater than $\frac{1}{10}$ is $\frac{3}{10}$ (with a diagram showing 3 out of 10 boxes shaded)
4. A possible fraction less than $\frac{1}{9}$ is $\frac{1}{18}$ (with a diagram showing 1 out of 18 small triangles shaded, or an equivalent representation)