To solve these problems, we need to remember the rules for proper and improper fractions:
1.
Proper Fraction (< 1): The top number (numerator) is
smaller than the bottom number (denominator).
* Example: $\frac{2}{3}$ because $2 < 3$.
2.
Improper Fraction (> 1): The top number (numerator) is
larger than the bottom number (denominator).
* Example: $\frac{4}{3}$ because $4 > 3$.
Let's go through each question step-by-step to find the correct number from the options provided.
a) $\frac{7}{\square} < 1$
* We need a denominator larger than 7.
* Options: 8, 5.
* 8 is larger than 7.
*
Answer: 8
b) $\frac{\square}{3} > 1$
* We need a numerator larger than 3.
* Options: 4, 2.
* 4 is larger than 3.
*
Answer: 4
c) $\frac{9}{\square} < 1$
* We need a denominator larger than 9.
* Options: 15, 7.
* 15 is larger than 9.
*
Answer: 15
d) $\frac{14}{\square} > 1$
* We need a denominator smaller than 14.
* Options: 13, 17.
* 13 is smaller than 14.
*
Answer: 13
e) $\frac{\square}{19} < 1$
* We need a numerator smaller than 19.
* Options: 10, 20.
* 10 is smaller than 19.
*
Answer: 10
f) $\frac{\square}{4} > 1$
* We need a numerator larger than 4.
* Options: 6, 3.
* 6 is larger than 4.
*
Answer: 6
g) $\frac{\square}{6} < 1$
* We need a numerator smaller than 6.
* Options: 7, 2.
* 2 is smaller than 6.
*
Answer: 2
h) $\frac{11}{\square} > 1$
* We need a denominator smaller than 11.
* Options: 10, 12.
* 10 is smaller than 11.
*
Answer: 10
i) $\frac{\square}{8} > 1$
* We need a numerator larger than 8.
* Options: 11, 7.
* 11 is larger than 8.
*
Answer: 11
j) $\frac{3}{\square} < 1$
* We need a denominator larger than 3.
* Options: 14, 2.
* 14 is larger than 3.
*
Answer: 14
k) $\frac{9}{\square} < 1$
* We need a denominator larger than 9.
* Options: 13, 8.
* 13 is larger than 9.
*
Answer: 13
l) $\frac{19}{\square} > 1$
* We need a denominator smaller than 19.
* Options: 7, 25.
* 7 is smaller than 19.
*
Answer: 7
m) $\frac{15}{\square} < 1$
* We need a denominator larger than 15.
* Options: 17, 12.
* 17 is larger than 15.
*
Answer: 17
n) $\frac{\square}{17} < 1$
* We need a numerator smaller than 17.
* Options: 16, 25.
* 16 is smaller than 17.
*
Answer: 16
o) $\frac{15}{\square} > 1$
* We need a denominator smaller than 15.
* Options: 16, 13.
* 13 is smaller than 15.
*
Answer: 13
p) $\frac{8}{\square} < 1$
* We need a denominator larger than 8.
* Options: 6, 9.
* 9 is larger than 8.
*
Answer: 9
q) $\frac{3}{\square} > 1$
* We need a denominator smaller than 3.
* Options: 2, 6.
* 2 is smaller than 3.
*
Answer: 2
──────────────────────────────────────
Final Answer:
a) 8
b) 4
c) 15
d) 13
e) 10
f) 6
g) 2
h) 10
i) 11
j) 14
k) 13
l) 7
m) 17
n) 16
o) 13
p) 9
q) 2
Parent Tip: Review the logic above to help your child master the concept of fractions worksheets grade 4.
