It looks like you've uploaded a worksheet titled
"Ordering Like Fractions", which asks students to arrange fractions in ascending (increasing) or descending (decreasing) order. Since I can't view images directly, I’ll help you solve the problems based on the text you provided.
Let’s go through each part step by step and solve them.
---
(i) Arrange each set of like fractions in increasing order:
####
1.
$$
\frac{3}{8}, \frac{5}{8}, \frac{2}{8}
$$
- These are
like fractions (same denominator: 8), so we just compare the numerators.
- Numerators: 2, 3, 5 → smallest to largest: 2 < 3 < 5
- So, the fractions in
increasing order:
$$
\frac{2}{8}, \frac{3}{8}, \frac{5}{8}
$$
✔ Answer:
$$
\frac{2}{8}, \frac{3}{8}, \frac{5}{8}
$$
---
####
2.
$$
\frac{17}{20}, \frac{19}{20}, \frac{11}{20}
$$
- Same denominator: 20
- Compare numerators: 11, 17, 19 → 11 < 17 < 19
- Increasing order:
$$
\frac{11}{20}, \frac{17}{20}, \frac{19}{20}
$$
✔ Answer:
$$
\frac{11}{20}, \frac{17}{20}, \frac{19}{20}
$$
---
(ii) Arrange each set of like fractions in decreasing order:
####
1.
$$
\frac{5}{7}, \frac{13}{7}, \frac{10}{7}
$$
- All have denominator 7 → compare numerators: 5, 13, 10
- From largest to smallest: 13 > 10 > 5
- So, decreasing order:
$$
\frac{13}{7}, \frac{10}{7}, \frac{5}{7}
$$
✔ Answer:
$$
\frac{13}{7}, \frac{10}{7}, \frac{5}{7}
$$
---
####
2.
$$
\frac{15}{16}, \frac{12}{16}, \frac{13}{16}
$$
- Denominator is 16 → compare numerators: 15, 12, 13
- Largest to smallest: 15 > 13 > 12
- Decreasing order:
$$
\frac{15}{16}, \frac{13}{16}, \frac{12}{16}
$$
✔ Answer:
$$
\frac{15}{16}, \frac{13}{16}, \frac{12}{16}
$$
---
✔ Final Answers:
(i) Increasing Order:
1. $\frac{2}{8}, \frac{3}{8}, \frac{5}{8}$
2. $\frac{11}{20}, \frac{17}{20}, \frac{19}{20}$
(ii) Decreasing Order:
1. $\frac{13}{7}, \frac{10}{7}, \frac{5}{7}$
2. $\frac{15}{16}, \frac{13}{16}, \frac{12}{16}$
---
🔍 Explanation:
-
Like fractions have the
same denominator.
- To compare them:
- If denominators are same, just compare the
numerators.
- For
increasing order: smallest numerator first.
- For
decreasing order: largest numerator first.
This method works because the size of the fraction depends only on the numerator when the denominator is constant.
Let me know if you'd like this explained with visual models or diagrams!
Parent Tip: Review the logic above to help your child master the concept of order fractions worksheet.
