1. **Problem statement:** Fill in the missing fractions or units in the given equations.
2. **Step (a):** Given $$\frac{19}{8} = 2 + \text{missing fraction}$$
Since $$2 = \frac{16}{8}$$, the missing fraction is $$\frac{19}{8} - \frac{16}{8} = \frac{3}{8}$$.
3. **Step (b):** Given $$2 \frac{1}{2} = 2 + \text{missing fraction}$$
Convert mixed number to improper fraction: $$2 \frac{1}{2} = \frac{5}{2}$$.
The missing fraction after 2 is $$\frac{5}{2} - 2 = \frac{5}{2} - \frac{4}{2} = \frac{1}{2}$$.
4. **Step (c):** Given $$\frac{17}{4} = \text{missing mixed number}$$
Divide 17 by 4: $$17 \div 4 = 4 \text{ remainder } 1$$.
So, $$\frac{17}{4} = 4 \frac{1}{4}$$.
5. **Step (d):** Given $$\text{missing fraction} = \frac{17}{8}$$
The missing fraction is $$\frac{17}{8}$$.
6. **Step (e):** Given $$1 \div \frac{5}{4} = \text{missing fraction}$$
Dividing by a fraction: $$1 \times \frac{4}{5} = \frac{4}{5}$$.
7. **Step (f):** Given $$\frac{24}{8} = 4 + \text{missing fraction}$$
Since $$\frac{24}{8} = 3$$, but right side is $$4 \frac{1}{8} = \frac{33}{8}$$, this seems inconsistent. Possibly a typo.
8. **Step (g):** Given $$10 \frac{1}{2} = \text{missing fraction}$$
Convert to improper fraction: $$10 \frac{1}{2} = \frac{21}{2}$$.
9. **Step (h):** Given $$3 \frac{3}{4} = \text{missing fraction}$$
Convert to improper fraction: $$3 \frac{3}{4} = \frac{15}{4}$$.
10. **Step (i):** Given $$8 = \text{missing fraction}$$
Express as fraction: $$8 = \frac{8}{1}$$.
11. **Step (j):** Missing fraction, no equation given.
12. **Step (k):** Given $$9 \frac{3}{4} = \text{missing fraction}$$
Convert to improper fraction: $$9 \frac{3}{4} = \frac{39}{4}$$.
13. **Step (l):** Given $$\frac{41}{8} = \text{missing mixed number}$$
Divide 41 by 8: $$41 \div 8 = 5 \text{ remainder } 1$$.
So, $$\frac{41}{8} = 5 \frac{1}{8}$$.
**Final answers:**
(a) $$2 \frac{3}{8}$$
(b) $$2 \frac{1}{2}$$
(c) $$4 \frac{1}{4}$$
(d) $$\frac{17}{8}$$
(e) $$\frac{4}{5}$$
(f) Inconsistent data
(g) $$\frac{21}{2}$$
(h) $$\frac{15}{4}$$
(i) $$\frac{8}{1}$$
(j) Missing data
(k) $$\frac{39}{4}$$
(l) $$5 \frac{1}{8}$$
Fractions Fill Cf00A2
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.