1. **Stating the problem:** Convert the given fractions and decimals to equivalent forms and understand the shaded parts in the rectangle and square. 2. **Fraction to decimal conversion:** To convert a fraction to a decimal, divide the numerator by the denominator. 3. **Decimal to fraction conversion:** To convert a decimal to a fraction, write the decimal as a fraction with denominator as a power of 10 and simplify. 4. **Conversions given:** - $\frac{2}{10} = 0.2$ (already given) - $\frac{75}{100} = 0.75$ (already given) 5. **List of fractions and decimals:** - $\frac{19}{10} = 1.9$ - $\frac{45}{100} = 0.45$ - $\frac{573}{10} = 57.3$ - $10 \frac{9}{10} = 10 + \frac{9}{10} = 10 + 0.9 = 10.9$ 6. **Length conversions:** - $15 \text{ cm} = \frac{15 \text{ cm}}{100 \text{ cm/m}} = \frac{15}{100} = 0.15 \text{ m}$ - $55 \text{ cm} = 0.55 \text{ m}$ - $575 \text{ mm} = \frac{575}{1000} = 0.575 \text{ m}$ - $5 \text{ cm} = 0.05 \text{ m}$ 7. **Understanding shaded parts:** - Rectangle divided into 10 equal parts with 2 shaded means $\frac{2}{10} = 0.2$ shaded. - Square divided into 100 smaller squares with 75 shaded means $\frac{75}{100} = 0.75$ shaded. **Final answers:** - $\frac{19}{10} = 1.9$ - $\frac{45}{100} = 0.45$ - $\frac{573}{10} = 57.3$ - $10 \frac{9}{10} = 10.9$ - $15 \text{ cm} = 0.15 \text{ m}$ - $55 \text{ cm} = 0.55 \text{ m}$ - $575 \text{ mm} = 0.575 \text{ m}$ - $5 \text{ cm} = 0.05 \text{ m}$ - Rectangle shaded fraction = $\frac{2}{10} = 0.2$ - Square shaded fraction = $\frac{75}{100} = 0.75$