Question

converting mixed numbers to improper fractions

1. $9\frac{1}{9} = \frac{82}{9}$
2. $2\frac{1}{2} = \frac{5}{2}$
3. $3\frac{1}{2} = $ ____
4. $7\frac{4}{9} = $ ____
5. $4\frac{3}{4} = $ ____
6. $4\frac{3}{4} = $ ____
7. $5\frac{1}{8} = $ ____
8. $2\frac{1}{2} = $ ____
9. $9\frac{4}{9} = $ ____
10. $5\frac{7}{10} = $ ____
11. $8\frac{1}{7} = $ ____
12. $4\frac{2}{5} = $ ____
13. $2\frac{5}{7} = $ ____
14. $4\frac{1}{7} = $ ____
15. $7\frac{7}{10} = $ ____

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fractions worksheet

Explanation:

To convert a mixed number \( a\frac{b}{c} \) to an improper fraction, we use the formula \( \frac{a \times c + b}{c} \). Let's solve each problem one by one:

1) \( 9\frac{1}{9} \)

Step 1: Multiply the whole number and denominator

\( 9 \times 9 = 81 \)

Step 2: Add the numerator

\( 81 + 1 = 82 \)

Step 3: Write as improper fraction

\( \frac{82}{9} \)

Answer:

\( \frac{82}{9} \)

2) \( 2\frac{1}{2} \)

Step 1: Multiply the whole number and denominator

\( 2 \times 2 = 4 \)

Step 2: Add the numerator

\( 4 + 1 = 5 \)

Step 3: Write as improper fraction

\( \frac{5}{2} \)