Subjects algebra

Fractions Fill Cf00A2

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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) $$5 \frac{1}{8}$$