Let's go through each part of the question to arrange the fractions and decimals from smallest to largest.

Part 1: Fractions

We are given the following fractions: $\frac{7}{10}, \quad \frac{1}{4}, \quad \frac{1}{5}, \quad \frac{2}{5}, \quad \frac{1}{8}, \quad \frac{3}{10}$

To compare these, let's convert them to decimals:

• $\frac{7}{10} = 0.7$
• $\frac{1}{4} = 0.25$
• $\frac{1}{5} = 0.2$
• $\frac{2}{5} = 0.4$
• $\frac{1}{8} = 0.125$
• $\frac{3}{10} = 0.3$

Now, ordering these decimals from smallest to largest: $0.125, \quad 0.2, \quad 0.25, \quad 0.3, \quad 0.4, \quad 0.7$

Therefore, the fractions in order from smallest to largest are: $\frac{1}{8}, \quad \frac{1}{5}, \quad \frac{1}{4}, \quad \frac{3}{10}, \quad \frac{2}{5}, \quad \frac{7}{10}$

Part 2: Decimals

We are given the following decimals: $0.241, \quad 0.375, \quad 0.85, \quad 0.3, \quad 0.5, \quad 0.35, \quad 0.24$

Arranging these from smallest to largest: $0.24, \quad 0.241, \quad 0.3, \quad 0.35, \quad 0.375, \quad 0.5, \quad 0.85$

Final Answer

1. Fractions from smallest to largest: $\frac{1}{8}, \frac{1}{5}, \frac{1}{4}, \frac{3}{10}, \frac{2}{5}, \frac{7}{10}$

2. Decimals from smallest to largest: $0.24, 0.241, 0.3, 0.35, 0.375, 0.5, 0.85$

Would you like more details or have any questions?

Related Questions:

1. How do you convert fractions to decimals?
2. Why is it important to align decimals properly when comparing them?
3. What are other methods for comparing fractions without converting to decimals?
4. How can you find common denominators to compare fractions?
5. What are some strategies for organizing numbers quickly in ascending or descending order?

Tip: When comparing fractions, converting them to decimals or finding a common denominator are two effective methods to see which is larger or smaller.