Here are the solutions for the fraction comparison problems.
Step-by-step Solution:
1.
Problem 2:
* Left circle: Divided into 3 parts, 1 shaded. Fraction:
1/3.
* Right circle: Divided into 12 parts, 3 shaded. Fraction:
3/12.
* Comparison: If you simplify 3/12 (divide top and bottom by 3), you get 1/4. Since 1/3 is bigger than 1/4,
1/3 > 3/12.
2.
Problem 3:
* Left circle: Divided into 8 parts, 5 shaded. Fraction:
5/8.
* Right circle: Divided into 8 parts, 4 shaded. Fraction:
4/8.
* Comparison: 5 is bigger than 4, so
5/8 > 4/8.
3.
Problem 4:
* Left circle: Divided into 10 parts, 2 shaded. Fraction:
2/10.
* Right circle: Divided into 6 parts, 1 shaded. Fraction:
1/6.
* Comparison: To compare, find a common number they both go into (like 30).
* 2/10 becomes 6/30.
* 1/6 becomes 5/30.
* Since 6 is bigger than 5,
2/10 > 1/6.
4.
Problem 5:
* Left circle: Divided into 8 parts, 5 shaded. Fraction:
5/8.
* Right circle: Divided into 10 parts, 7 shaded. Fraction:
7/10.
* Comparison: Find a common number (like 40).
* 5/8 becomes 25/40.
* 7/10 becomes 28/40.
* Since 28 is bigger than 25,
5/8 < 7/10.
5.
Problem 6:
* Left circle: Divided into 5 parts, 4 shaded. Fraction:
4/5.
* Right circle: Divided into 8 parts, 7 shaded. Fraction:
7/8.
* Comparison: Find a common number (like 40).
* 4/5 becomes 32/40.
* 7/8 becomes 35/40.
* Since 35 is bigger than 32,
4/5 < 7/8.
6.
Problem 7:
* Left circle: Divided into 10 parts, 4 shaded. Fraction:
4/10.
* Right circle: Divided into 10 parts, 5 shaded. Fraction:
5/10.
* Comparison: 4 is smaller than 5, so
4/10 < 5/10.
7.
Problem 8:
* Left circle: Divided into 5 parts, 3 shaded. Fraction:
3/5.
* Right circle: Divided into 8 parts, 4 shaded. Fraction:
4/8.
* Comparison: Find a common number (like 40).
* 3/5 becomes 24/40.
* 4/8 becomes 20/40.
* Since 24 is bigger than 20,
3/5 > 4/8.
8.
Problem 9:
* Left circle: Divided into 4 parts, 3 shaded. Fraction:
3/4.
* Right circle: Divided into 8 parts, 5 shaded. Fraction:
5/8.
* Comparison: Change 3/4 to eighths. Multiply top and bottom by 2 to get
6/8.
* Since 6/8 is bigger than 5/8,
3/4 > 5/8.
9.
Problem 10:
* Left circle: Divided into 10 parts, 3 shaded. Fraction:
3/10.
* Right circle: Divided into 5 parts, 2 shaded. Fraction:
2/5.
* Comparison: Change 2/5 to tenths. Multiply top and bottom by 2 to get
4/10.
* Since 3/10 is smaller than 4/10,
3/10 < 2/5.
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Final Answer:
2) $\frac{1}{3} > \frac{3}{12}$
3) $\frac{5}{8} > \frac{4}{8}$
4) $\frac{2}{10} > \frac{1}{6}$
5) $\frac{5}{8} < \frac{7}{10}$
6) $\frac{4}{5} < \frac{7}{8}$
7) $\frac{4}{10} < \frac{5}{10}$
8) $\frac{3}{5} > \frac{4}{8}$
9) $\frac{3}{4} > \frac{5}{8}$
10) $\frac{3}{10} < \frac{2}{5}$
Parent Tip: Review the logic above to help your child master the concept of compare fractions worksheet.
