To order fractions from smallest to largest, we look at the size of the pieces.
For Question 1 and 2 (Unit Fractions):
These fractions all have a
1 on top (numerator). When the top number is the same, we look at the bottom number (denominator).
* Think of a pizza. If you cut it into
8 slices, each slice is smaller than if you cut it into
2 slices.
* Therefore, the
bigger the bottom number, the
smaller the fraction.
* We just need to put the bottom numbers in order from biggest to smallest.
For Question 3 and 4 (Like Denominators):
These fractions all have the
same bottom number.
* Think of slices of the same size. Having
1 slice is less than having
5 slices.
* Therefore, we just look at the top numbers. The
smaller the top number, the
smaller the fraction.
* We put the top numbers in order from smallest to biggest.
Here is the step-by-step solution:
1. $\frac{1}{8}, \frac{1}{5}, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}$
* Compare denominators: 8, 5, 2, 3, 4.
* Order denominators from largest to smallest: 8, 5, 4, 3, 2.
* Match fractions: $\frac{1}{8}$ is smallest, then $\frac{1}{5}$, then $\frac{1}{4}$, then $\frac{1}{3}$, then $\frac{1}{2}$.
2. $\frac{1}{6}, \frac{1}{2}, \frac{1}{10}, \frac{1}{5}, \frac{1}{3}$
* Compare denominators: 6, 2, 10, 5, 3.
* Order denominators from largest to smallest: 10, 6, 5, 3, 2.
* Match fractions: $\frac{1}{10}$ is smallest, then $\frac{1}{6}$, then $\frac{1}{5}$, then $\frac{1}{3}$, then $\frac{1}{2}$.
3. $\frac{4}{8}, \frac{6}{8}, \frac{2}{8}, \frac{5}{8}, \frac{1}{8}$
* Denominators are all 8. Look at numerators: 4, 6, 2, 5, 1.
* Order numerators from smallest to largest: 1, 2, 4, 5, 6.
* Match fractions: $\frac{1}{8}, \frac{2}{8}, \frac{4}{8}, \frac{5}{8}, \frac{6}{8}$.
4. $\frac{5}{6}, \frac{1}{6}, \frac{4}{6}, \frac{2}{6}, \frac{3}{6}$
* Denominators are all 6. Look at numerators: 5, 1, 4, 2, 3.
* Order numerators from smallest to largest: 1, 2, 3, 4, 5.
* Match fractions: $\frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4}{6}, \frac{5}{6}$.
Final Answer:
1. $\frac{1}{8}, \frac{1}{5}, \frac{1}{4}, \frac{1}{3}, \frac{1}{2}$
2. $\frac{1}{10}, \frac{1}{6}, \frac{1}{5}, \frac{1}{3}, \frac{1}{2}$
3. $\frac{1}{8}, \frac{2}{8}, \frac{4}{8}, \frac{5}{8}, \frac{6}{8}$
4. $\frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4}{6}, \frac{5}{6}$
Parent Tip: Review the logic above to help your child master the concept of ordering fractions worksheet.
