To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number). The whole number part is how many times the denominator goes into the numerator completely. The remainder becomes the new numerator, and the denominator stays the same.
Let's solve each problem step-by-step:
1) $\frac{9}{2}$
* Divide 9 by 2.
* 2 goes into 9 four times ($2 \times 4 = 8$).
* The remainder is $9 - 8 = 1$.
* So, the mixed number is $4$ and $\frac{1}{2}$.
2) $\frac{13}{4}$
* Divide 13 by 4.
* 4 goes into 13 three times ($4 \times 3 = 12$).
* The remainder is $13 - 12 = 1$.
* So, the mixed number is $3$ and $\frac{1}{4}$.
3) $\frac{19}{4}$
* Divide 19 by 4.
* 4 goes into 19 four times ($4 \times 4 = 16$).
* The remainder is $19 - 16 = 3$.
* So, the mixed number is $4$ and $\frac{3}{4}$.
4) $\frac{21}{6}$
* Divide 21 by 6.
* 6 goes into 21 three times ($6 \times 3 = 18$).
* The remainder is $21 - 18 = 3$.
* So, the mixed number is $3$ and $\frac{3}{6}$.
* *Note: The fraction $\frac{3}{6}$ can be simplified to $\frac{1}{2}$, so $3 \frac{1}{2}$ is also correct, but usually keeping the original denominator is acceptable in these visual exercises unless simplification is requested.* Let's stick with the direct conversion first: $3 \frac{3}{6}$.
5) $\frac{20}{9}$
* Divide 20 by 9.
* 9 goes into 20 two times ($9 \times 2 = 18$).
* The remainder is $20 - 18 = 2$.
* So, the mixed number is $2$ and $\frac{2}{9}$.
Final Answer:
1) $4 \frac{1}{2}$
2) $3 \frac{1}{4}$
3) $4 \frac{3}{4}$
4) $3 \frac{3}{6}$ (or $3 \frac{1}{2}$)
5) $2 \frac{2}{9}$
Parent Tip: Review the logic above to help your child master the concept of mixed number fractions worksheet.
