Here are the solutions to the problems in the image:

Problem 5: How many of the given operations are correct?

Operations:

1. $5.5 = \frac{11}{2}$ ✅ (True)
2. $0.5 = \frac{1}{2}$ ✅ (True)
3. $\frac{3}{8} = 0.258$ ❌ (False, because $3/8 = 0.375$)
4. $0.2 = \frac{3}{15}$ ❌ (False, because $0.2 = 1/5$)

Correct operations: 2 Answer: D) 2

Problem 6: Compute the inverse of $\frac{1}{0.02} - 37.37 + 0.16$

1. $\frac{1}{0.02} = 50$
2. $50 - 37.37 = 12.63$
3. $12.63 + 0.16 = 12.79$
4. The inverse of 12.79 is $\frac{1}{12.79} \approx 0.0782$

None of the answer choices match exactly, but the closest integer is D) 155 (seems like a misprint in options).

Problem 7: Compare the numbers:

• $a = 0.1, 0.3$ → Maximum is 0.3
• $b = 0.2, 0.4$ → Maximum is 0.4
• $c = 0.1, 0.2$ → Maximum is 0.2

Thus, $b > a > c$.

Answer: C) b > a > c

Problem 8: Convert $\frac{5}{6}$ to decimal.

$\frac{5}{6} = 0.8333...$ Answer: C) 0.830

Problem 9: Find the number whose $\frac{3}{5}$ is 18.

Let $x$ be the number: $\frac{3}{5} x = 18$ $x = \frac{18 \times 5}{3} = 30$

Answer: B) 30

Problem 10: Find the fraction of 48 that is 21.

$\frac{21}{48} = \frac{7}{16}$

Answer: D) $\frac{7}{16}$

Would you like detailed explanations for any of these? Here are some related questions:

1. How do you find the reciprocal (inverse) of a number?
2. How do you compare decimal numbers easily?
3. How do you convert a fraction to a decimal?
4. How do you solve fraction-based word problems?
5. How do you simplify fractions?

Tip: When comparing fractions and decimals, converting everything to decimals often makes it easier!