To solve these problems, we need to round each mixed number to the nearest whole number and then subtract them.
How to round:
* Look at the fraction part.
* If the numerator is
less than half of the denominator, round
down (keep the whole number the same).
* If the numerator is
half or more of the denominator, round
up (add 1 to the whole number).
Here is the step-by-step solution for each problem:
1) $4 \frac{1}{4} - 2 \frac{1}{6}$
* $4 \frac{1}{4}$: The fraction $\frac{1}{4}$ is less than half. Round down to
4.
* $2 \frac{1}{6}$: The fraction $\frac{1}{6}$ is less than half. Round down to
2.
* Equation: $4 - 2 = 2$
2) $8 \frac{4}{5} - 3 \frac{6}{10}$
* $8 \frac{4}{5}$: The fraction $\frac{4}{5}$ is more than half. Round up to
9.
* $3 \frac{6}{10}$: The fraction $\frac{6}{10}$ is more than half ($\frac{5}{10}$ is half). Round up to
4.
* Equation: $9 - 4 = 5$
3) $2 \frac{7}{8} - 1 \frac{1}{2}$
* $2 \frac{7}{8}$: The fraction $\frac{7}{8}$ is more than half. Round up to
3.
* $1 \frac{1}{2}$: The fraction $\frac{1}{2}$ is exactly half. We round up to
2.
* Equation: $3 - 2 = 1$
4) $9 \frac{6}{7} - 8 \frac{1}{2}$
* $9 \frac{6}{7}$: The fraction $\frac{6}{7}$ is more than half. Round up to
10.
* $8 \frac{1}{2}$: The fraction $\frac{1}{2}$ is exactly half. We round up to
9.
* Equation: $10 - 9 = 1$
5) $6 \frac{8}{9} - 5 \frac{2}{3}$
* $6 \frac{8}{9}$: The fraction $\frac{8}{9}$ is more than half. Round up to
7.
* $5 \frac{2}{3}$: The fraction $\frac{2}{3}$ is more than half. Round up to
6.
* Equation: $7 - 6 = 1$
6) $9 \frac{5}{6} - 4 \frac{1}{4}$
* $9 \frac{5}{6}$: The fraction $\frac{5}{6}$ is more than half. Round up to
10.
* $4 \frac{1}{4}$: The fraction $\frac{1}{4}$ is less than half. Round down to
4.
* Equation: $10 - 4 = 6$
7) $7 \frac{2}{3} - 6 \frac{3}{5}$
* $7 \frac{2}{3}$: The fraction $\frac{2}{3}$ is more than half. Round up to
8.
* $6 \frac{3}{5}$: The fraction $\frac{3}{5}$ is more than half. Round up to
7.
* Equation: $8 - 7 = 1$
8) $5 \frac{2}{3} - 1 \frac{1}{6}$
* $5 \frac{2}{3}$: The fraction $\frac{2}{3}$ is more than half. Round up to
6.
* $1 \frac{1}{6}$: The fraction $\frac{1}{6}$ is less than half. Round down to
1.
* Equation: $6 - 1 = 5$
Final Answer:
1) 4 - 2 = 2
2) 9 - 4 = 5
3) 3 - 2 = 1
4) 10 - 9 = 1
5) 7 - 6 = 1
6) 10 - 4 = 6
7) 8 - 7 = 1
8) 6 - 1 = 5
Parent Tip: Review the logic above to help your child master the concept of estimating fractions worksheet 5th grade.
