To convert a mixed number to an improper fraction, we follow these steps:
1. Multiply the whole number by the denominator (the bottom number).
2. Add the numerator (the top number) to that result.
3. Write the new total over the original denominator.
Let's solve each problem step-by-step:
1) $7 \frac{1}{3}$
* Multiply whole number by denominator: $7 \times 3 = 21$
* Add numerator: $21 + 1 = 22$
* Result: $\frac{22}{3}$
2) $7 \frac{9}{10}$
* Multiply whole number by denominator: $7 \times 10 = 70$
* Add numerator: $70 + 9 = 79$
* Result: $\frac{79}{10}$
3) $7 \frac{3}{4}$
* Multiply whole number by denominator: $7 \times 4 = 28$
* Add numerator: $28 + 3 = 31$
* Result: $\frac{31}{4}$
4) $2 \frac{1}{2}$
* Multiply whole number by denominator: $2 \times 2 = 4$
* Add numerator: $4 + 1 = 5$
* Result: $\frac{5}{2}$
5) $8 \frac{4}{7}$
* Multiply whole number by denominator: $8 \times 7 = 56$
* Add numerator: $56 + 4 = 60$
* Result: $\frac{60}{7}$
6) $2 \frac{3}{5}$
* Multiply whole number by denominator: $2 \times 5 = 10$
* Add numerator: $10 + 3 = 13$
* Result: $\frac{13}{5}$
7) $3 \frac{5}{8}$
* Multiply whole number by denominator: $3 \times 8 = 24$
* Add numerator: $24 + 5 = 29$
* Result: $\frac{29}{8}$
8) $6 \frac{7}{9}$
* Multiply whole number by denominator: $6 \times 9 = 54$
* Add numerator: $54 + 7 = 61$
* Result: $\frac{61}{9}$
9) $9 \frac{1}{8}$
* Multiply whole number by denominator: $9 \times 8 = 72$
* Add numerator: $72 + 1 = 73$
* Result: $\frac{73}{8}$
10) $6 \frac{2}{5}$
* Multiply whole number by denominator: $6 \times 5 = 30$
* Add numerator: $30 + 2 = 32$
* Result: $\frac{32}{5}$
11) $4 \frac{1}{3}$
* Multiply whole number by denominator: $4 \times 3 = 12$
* Add numerator: $12 + 1 = 13$
* Result: $\frac{13}{3}$
12) $2 \frac{2}{3}$
* Multiply whole number by denominator: $2 \times 3 = 6$
* Add numerator: $6 + 2 = 8$
* Result: $\frac{8}{3}$
13) $8 \frac{1}{2}$
* Multiply whole number by denominator: $8 \times 2 = 16$
* Add numerator: $16 + 1 = 17$
* Result: $\frac{17}{2}$
14) $4 \frac{3}{10}$
* Multiply whole number by denominator: $4 \times 10 = 40$
* Add numerator: $40 + 3 = 43$
* Result: $\frac{43}{10}$
15) $8 \frac{4}{5}$
* Multiply whole number by denominator: $8 \times 5 = 40$
* Add numerator: $40 + 4 = 44$
* Result: $\frac{44}{5}$
Final Answer:
1) $\frac{22}{3}$
2) $\frac{79}{10}$
3) $\frac{31}{4}$
4) $\frac{5}{2}$
5) $\frac{60}{7}$
6) $\frac{13}{5}$
7) $\frac{29}{8}$
8) $\frac{61}{9}$
9) $\frac{73}{8}$
10) $\frac{32}{5}$
11) $\frac{13}{3}$
12) $\frac{8}{3}$
13) $\frac{17}{2}$
14) $\frac{43}{10}$
15) $\frac{44}{5}$
Parent Tip: Review the logic above to help your child master the concept of mixed numbers improper fractions worksheet.