To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number).
1.
Divide the top number by the bottom number to get the whole number part.
2. The
remainder becomes the new numerator.
3. The
denominator stays the same.
4. Simplify the fraction part if possible.
Here is the step-by-step solution for each problem:
1) $\frac{7}{3}$
* $7 \div 3 = 2$ with a remainder of $1$.
* Whole number: $2$
* Fraction: $\frac{1}{3}$
* Answer: $2 \frac{1}{3}$
2) $\frac{13}{2}$
* $13 \div 2 = 6$ with a remainder of $1$.
* Whole number: $6$
* Fraction: $\frac{1}{2}$
* Answer: $6 \frac{1}{2}$
3) $\frac{56}{9}$
* $56 \div 9 = 6$ with a remainder of $2$ (because $9 \times 6 = 54$).
* Whole number: $6$
* Fraction: $\frac{2}{9}$
* Answer: $6 \frac{2}{9}$
4) $\frac{44}{6}$
* $44 \div 6 = 7$ with a remainder of $2$ (because $6 \times 7 = 42$).
* Whole number: $7$
* Fraction: $\frac{2}{6}$
* Simplify $\frac{2}{6}$ by dividing top and bottom by 2: $\frac{1}{3}$.
* Answer: $7 \frac{1}{3}$
5) $\frac{26}{5}$
* $26 \div 5 = 5$ with a remainder of $1$ (because $5 \times 5 = 25$).
* Whole number: $5$
* Fraction: $\frac{1}{5}$
* Answer: $5 \frac{1}{5}$
6) $\frac{27}{6}$
* $27 \div 6 = 4$ with a remainder of $3$ (because $6 \times 4 = 24$).
* Whole number: $4$
* Fraction: $\frac{3}{6}$
* Simplify $\frac{3}{6}$ by dividing top and bottom by 3: $\frac{1}{2}$.
* Answer: $4 \frac{1}{2}$
7) $\frac{20}{7}$
* $20 \div 7 = 2$ with a remainder of $6$ (because $7 \times 2 = 14$).
* Whole number: $2$
* Fraction: $\frac{6}{7}$
* Answer: $2 \frac{6}{7}$
8) $\frac{58}{9}$
* $58 \div 9 = 6$ with a remainder of $4$ (because $9 \times 6 = 54$).
* Whole number: $6$
* Fraction: $\frac{4}{9}$
* Answer: $6 \frac{4}{9}$
9) $\frac{11}{4}$
* $11 \div 4 = 2$ with a remainder of $3$ (because $4 \times 2 = 8$).
* Whole number: $2$
* Fraction: $\frac{3}{4}$
* Answer: $2 \frac{3}{4}$
10) $\frac{18}{7}$
* $18 \div 7 = 2$ with a remainder of $4$ (because $7 \times 2 = 14$).
* Whole number: $2$
* Fraction: $\frac{4}{7}$
* Answer: $2 \frac{4}{7}$
Final Answer:
1) $2 \frac{1}{3}$
2) $6 \frac{1}{2}$
3) $6 \frac{2}{9}$
4) $7 \frac{1}{3}$
5) $5 \frac{1}{5}$
6) $4 \frac{1}{2}$
7) $2 \frac{6}{7}$
8) $6 \frac{4}{9}$
9) $2 \frac{3}{4}$
10) $2 \frac{4}{7}$
Parent Tip: Review the logic above to help your child master the concept of mixed fractions to improper fractions worksheet.