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To determine which student grew the least, we need to compare the growth measurements given:

- Ellen grew \( \frac{7}{8} \) inch.
- Kelvin grew \( \frac{9}{16} \) inch.
- Grady grew \( \frac{5}{3} \) inch.
- Wendy grew \( 1 \frac{1}{3} \) inch, which is \( \frac{4}{3} \) inch when converted to an improper fraction.

First, convert all fractions to a common denominator to make comparison easier. The least common multiple (LCM) of 8, 16, and 3 is 48. Thus, we convert each fraction:

- \( \frac{7}{8} = \frac{7 \times 6}{8 \times 6} = \frac{42}{48} \)
- \( \frac{9}{16} = \frac{9 \times 3}{16 \times 3} = \frac{27}{48} \)
- \( \frac{5}{3} = \frac{5 \times 16}{3 \times 16} = \frac{80}{48} \)
- \( \frac{4}{3} = \frac{4 \times 16}{3 \times 16} = \frac{64}{48} \)

Now, compare the numerators:

- Ellen: \( \frac{42}{48} \)
- Kelvin: \( \frac{27}{48} \)
- Grady: \( \frac{80}{48} \)
- Wendy: \( \frac{64}{48} \)

The smallest numerator is 27, which corresponds to Kelvin's growth of \( \frac{9}{16} \) inch. Therefore, the student who grew the least is Kelvin.

Would you like more details or have any questions about this solution?

Here are 5 related questions for further practice:

1. Convert the fraction \( \frac{9}{16} \) to a decimal.
2. Compare the fractions \( \frac{5}{3} \) and \( \frac{4}{3} \) without converting to common denominators.
3. Find the least common multiple (LCM) of 12, 15, and 20.
4. If one more student grew \( \frac{5}{8} \) inch, where would this student rank in terms of growth?
5. Convert \( 1 \frac{1}{3} \) inch to a decimal and compare it to \( \frac{5}{3} \) inch.

**Tip:** When comparing fractions, converting them to a common denominator or to decimals can make the comparison easier and more accurate.

Last month Ellen grew 7/8 inch, Kelvin grew 9/16 inch, Grady grew 5/3 inch, and Wendy grew 1 1/3 inch. Which student grew the least?

Learn how to compare fractional growth measurements in inches. This problem covers concepts like converting mixed numbers to improper fractions and finding the least common multiple (LCM) to compare fractions. Suitable for students in Grades 5-7.

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