(a) Shade $\frac{2}{9}$ of this shape.
(b) Write $\frac{2}{9}$ as a percentage.
▶️ Answer/Explanation
(a) Ans: 8 squares shaded
The grid has 6×6 = 36 squares total. To find $\frac{2}{9}$ of 36, we calculate $\frac{2}{9} × 36 = 8$. Therefore, any 8 squares should be shaded to represent the fraction.
(b) Ans: 22.2% or 22.22…%
To convert $\frac{2}{9}$ to percentage, divide 2 by 9 to get approximately 0.2222, then multiply by 100 to get 22.22%.
Complete the table.
▶️ Answer/Explanation
Ans:
1. \(\frac{3}{4}\) as a percentage:
Multiply \(\frac{3}{4}\) by 100: \(\frac{3}{4} \times 100 = 75\%\).
2. \(0.2\) as a fraction:
Write \(0.2\) as \(\frac{2}{10}\) and simplify: \(\frac{2}{10} = \frac{1}{5}\).
3. \(\frac{2}{25}\) as a decimal:
Divide \(2\) by \(25\): \(2 \div 25 = 0.08\).
The completed table values are:
- \(\frac{3}{4} = 75\%\)
- \(0.2 = \frac{1}{5}\)
- \(\frac{2}{25} = 0.08\)