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To arrange the given values in ascending order, let's first convert all of the mixed fractions and fractions into improper fractions, so that we can easily compare them.

The fractions are:

- \( 5 \frac{1}{7} \)
- \( \frac{34}{7} \)
- \( \frac{30}{7} \)
- \( 4 \frac{5}{7} \)

### Step 1: Convert mixed numbers to improper fractions
- \( 5 \frac{1}{7} = \frac{(5 \times 7 + 1)}{7} = \frac{36}{7} \)
- \( 4 \frac{5}{7} = \frac{(4 \times 7 + 5)}{7} = \frac{33}{7} \)

Now, the fractions we are comparing are:
- \( \frac{36}{7} \)
- \( \frac{34}{7} \)
- \( \frac{30}{7} \)
- \( \frac{33}{7} \)

### Step 2: Compare the fractions
Since all the fractions have the same denominator, we can simply compare their numerators:
- \( 30 \) (for \( \frac{30}{7} \))
- \( 33 \) (for \( \frac{33}{7} \))
- \( 34 \) (for \( \frac{34}{7} \))
- \( 36 \) (for \( \frac{36}{7} \))

### Step 3: Ascending order
The numerators in ascending order are: \( 30 \), \( 33 \), \( 34 \), \( 36 \).

Thus, the fractions in ascending order are:
\[
\frac{30}{7}, \frac{33}{7}, \frac{34}{7}, \frac{36}{7}
\]

In terms of the original values:
\[
\frac{30}{7}, 4 \frac{5}{7}, \frac{34}{7}, 5 \frac{1}{7}
\]

Would you like any additional details or have further questions?

Here are five related questions for practice:
1. How do you convert a mixed fraction to an improper fraction?
2. What is the difference between a mixed fraction and an improper fraction?
3. How do you compare fractions with different denominators?
4. How would you convert an improper fraction back to a mixed number?
5. If you had fractions with different denominators, how would you order them?

**Tip**: When comparing fractions with the same denominator, the numerator alone determines the size of the fraction.

Put the following values into ascending order (smallest to largest): 5 1/7, 34/7, 30/7, 4 5/7

Learn how to order mixed numbers and improper fractions like 5 1/7, 34/7, 30/7, and 4 5/7 in ascending order. This problem covers key fraction concepts and is suitable for students in Grades 5-7.

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