To solve the problem of comparing fractions using the given images, we need to determine which fraction is larger or smaller by visually inspecting the shaded portions of the circles. Each circle is divided into equal parts, and the shaded portion represents the fraction.
Step-by-Step Solution:
####
Row 1:
1.
Left Circle: Shaded 3 out of 8 parts.
- Fraction: \( \frac{3}{8} \)
2.
Right Circle: Shaded 4 out of 8 parts.
- Fraction: \( \frac{4}{8} \)
Since \( \frac{3}{8} < \frac{4}{8} \):
- Answer: \( < \)
####
Row 2:
1.
Left Circle: Shaded 2 out of 4 parts.
- Fraction: \( \frac{2}{4} \) (which simplifies to \( \frac{1}{2} \))
2.
Right Circle: Shaded 5 out of 8 parts.
- Fraction: \( \frac{5}{8} \)
Since \( \frac{2}{4} = \frac{1}{2} \) and \( \frac{1}{2} < \frac{5}{8} \):
- Answer: \( < \)
####
Row 3:
1.
Left Circle: Shaded 5 out of 8 parts.
- Fraction: \( \frac{5}{8} \)
2.
Right Circle: Shaded 7 out of 8 parts.
- Fraction: \( \frac{7}{8} \)
Since \( \frac{5}{8} < \frac{7}{8} \):
- Answer: \( < \)
####
Row 4:
1.
Left Circle: Shaded 6 out of 8 parts.
- Fraction: \( \frac{6}{8} \) (which simplifies to \( \frac{3}{4} \))
2.
Right Circle: Shaded 5 out of 8 parts.
- Fraction: \( \frac{5}{8} \)
Since \( \frac{6}{8} = \frac{3}{4} \) and \( \frac{3}{4} > \frac{5}{8} \):
- Answer: \( > \)
####
Row 5:
1.
Left Circle: Shaded 4 out of 8 parts.
- Fraction: \( \frac{4}{8} \) (which simplifies to \( \frac{1}{2} \))
2.
Right Circle: Shaded 3 out of 8 parts.
- Fraction: \( \frac{3}{8} \)
Since \( \frac{4}{8} = \frac{1}{2} \) and \( \frac{1}{2} > \frac{3}{8} \):
- Answer: \( > \)
####
Row 6:
1.
Left Circle: Shaded 3 out of 4 parts.
- Fraction: \( \frac{3}{4} \)
2.
Right Circle: Shaded 5 out of 8 parts.
- Fraction: \( \frac{5}{8} \)
Since \( \frac{3}{4} = \frac{6}{8} \) and \( \frac{6}{8} > \frac{5}{8} \):
- Answer: \( > \)
####
Row 7:
1.
Left Circle: Shaded 3 out of 8 parts.
- Fraction: \( \frac{3}{8} \)
2.
Right Circle: Shaded 2 out of 4 parts.
- Fraction: \( \frac{2}{4} \) (which simplifies to \( \frac{1}{2} \))
Since \( \frac{3}{8} < \frac{1}{2} \):
- Answer: \( < \)
Final Answers:
\[
\boxed{
\begin{array}{cc}
< & < \\
< & > \\
< & > \\
> & > \\
< & <
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of common core fractions grade 4 worksheet.
