Problem Overview:
The task involves comparing fractions represented by shaded parts of circles and determining whether one fraction is greater than (>), less than (<), or equal to (=) the other. Each pair of circles shows two fractions, and we need to compare them.
Solution Approach:
1.
Identify the Fractions:
- Each circle is divided into equal parts.
- The number of shaded parts represents the numerator.
- The total number of parts in the circle represents the denominator.
2.
Compare the Fractions:
- If the denominators are the same, compare the numerators directly.
- If the denominators are different, find a common denominator or use visual comparison to determine which fraction is larger.
3.
Write the Correct Symbol:
- Use `<` if the first fraction is smaller.
- Use `>` if the first fraction is larger.
- Use `=` if the fractions are equal.
Step-by-Step Solution:
####
Row 1:
-
Left Circle: 5/8 (5 shaded parts out of 8)
-
Right Circle: 3/8 (3 shaded parts out of 8)
-
Comparison: Since both have the same denominator, compare the numerators: 5 > 3.
-
Answer: \( \boxed{>} \)
####
Row 2:
-
Left Circle: 3/8 (3 shaded parts out of 8)
-
Right Circle: 4/8 (4 shaded parts out of 8)
-
Comparison: Both have the same denominator, so compare the numerators: 3 < 4.
-
Answer: \( \boxed{<} \)
####
Row 3:
-
Left Circle: 6/10 (6 shaded parts out of 10)
-
Right Circle: 7/10 (7 shaded parts out of 10)
-
Comparison: Both have the same denominator, so compare the numerators: 6 < 7.
-
Answer: \( \boxed{<} \)
####
Row 4:
-
Left Circle: 7/10 (7 shaded parts out of 10)
-
Right Circle: 9/10 (9 shaded parts out of 10)
-
Comparison: Both have the same denominator, so compare the numerators: 7 < 9.
-
Answer: \( \boxed{<} \)
####
Row 5:
-
Left Circle: 5/8 (5 shaded parts out of 8)
-
Right Circle: 5/8 (5 shaded parts out of 8)
-
Comparison: Both fractions are identical.
-
Answer: \( \boxed{=} \)
####
Row 6:
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Left Circle: 3/8 (3 shaded parts out of 8)
-
Right Circle: 3/8 (3 shaded parts out of 8)
-
Comparison: Both fractions are identical.
-
Answer: \( \boxed{=} \)
####
Row 7:
-
Left Circle: 7/10 (7 shaded parts out of 10)
-
Right Circle: 8/10 (8 shaded parts out of 10)
-
Comparison: Both have the same denominator, so compare the numerators: 7 < 8.
-
Answer: \( \boxed{<} \)
####
Row 8:
-
Left Circle: 4/8 (4 shaded parts out of 8)
-
Right Circle: 6/8 (6 shaded parts out of 8)
-
Comparison: Both have the same denominator, so compare the numerators: 4 < 6.
-
Answer: \( \boxed{<} \)
####
Row 9:
-
Left Circle: 5/8 (5 shaded parts out of 8)
-
Right Circle: 5/8 (5 shaded parts out of 8)
-
Comparison: Both fractions are identical.
-
Answer: \( \boxed{=} \)
####
Row 10:
-
Left Circle: 3/8 (3 shaded parts out of 8)
-
Right Circle: 3/8 (3 shaded parts out of 8)
-
Comparison: Both fractions are identical.
-
Answer: \( \boxed{=} \)
Final Answers:
\[
\begin{array}{c|c}
\text{Row} & \text{Answer} \\
\hline
1 & > \\
2 & < \\
3 & < \\
4 & < \\
5 & = \\
6 & = \\
7 & < \\
8 & < \\
9 & = \\
10 & = \\
\end{array}
\]
\[
\boxed{>, <, <, <, =, =, <, <, =, =}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions for 4th grade worksheet.
