Change the following improper fractions to mixed numbers.

Question

ScanSolve AI Tutor · Accepted Answer

To change an improper fraction to a mixed number, you divide the numerator by the denominator. The quotient becomes the whole number part, the remainder becomes the new numerator, and the denominator stays the same.

Let's take question 1 as an example: $\frac{3}{2}$ .

Divide the numerator (3) by the denominator (2).
$3 \div 2 = 1 \text{ with a remainder of } 1$
Form the mixed number.
The quotient (1) is the whole number, the remainder (1) is the new numerator, and the original denominator (2) stays the same.
$\frac{3}{2} = 1\frac{1}{2}$
Now, here are the conversions for the rest of the improper fractions:
1. $\frac{4}{3} = \boxed{1\frac{1}{3}}$
2. $\frac{5}{4} = \boxed{1\frac{1}{4}}$
3. $\frac{5}{2} = \boxed{2\frac{1}{2}}$
4. $\frac{5}{3} = \boxed{1\frac{2}{3}}$
5. $\frac{8}{5} = \boxed{1\frac{3}{5}}$
6. $\frac{8}{7} = \boxed{1\frac{1}{7}}$
7. $\frac{8}{3} = \boxed{2\frac{2}{3}}$
8. $\frac{10}{3} = \boxed{3\frac{1}{3}}$
9. $\frac{10}{7} = \boxed{1\frac{3}{7}}$
10. $\frac{11}{3} = \boxed{3\frac{2}{3}}$
11. $\frac{11}{4} = \boxed{2\frac{3}{4}}$
12. $\frac{11}{5} = \boxed{2\frac{1}{5}}$
13. $\frac{11}{7} = \boxed{1\frac{4}{7}}$
14. $\frac{11}{9} = \boxed{1\frac{2}{9}}$
15. $\frac{13}{3} = \boxed{4\frac{1}{3}}$
16. $\frac{13}{2} = \boxed{6\frac{1}{2}}$
17. $\frac{13}{4} = \boxed{3\frac{1}{4}}$
18. $\frac{13}{7} = \boxed{1\frac{6}{7}}$
19. $\frac{13}{5} = \boxed{2\frac{3}{5}}$
20. $\frac{13}{10} = \boxed{1\frac{3}{10}}$
21. $\frac{13}{9} = \boxed{1\frac{4}{9}}$
22. $\frac{13}{11} = \boxed{1\frac{2}{11}}$
23. $\frac{7}{6} = \boxed{1\frac{1}{6}}$
24. $\frac{15}{2} = \boxed{7\frac{1}{2}}$
25. $\frac{15}{7} = \boxed{2\frac{1}{7}}$
26. $\frac{15}{4} = \boxed{3\frac{3}{4}}$
27. $\frac{15}{11} = \boxed{1\frac{4}{11}}$
28. $\frac{17}{5} = \boxed{3\frac{2}{5}}$
29. $\frac{17}{3} = \boxed{5\frac{2}{3}}$

Change the following improper fractions to mixed numbers.

Step-by-step solution

Divide the numerator (3) by the denominator (2).

Form the mixed number.

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