Let's solve each of the first four problems step by step, as they are clearly visible in your image.
---
Problem 1:
Kendall used 1/2 of a bag of seed to plant 1/10 of her garden. How many bags will Kendall use to plant her garden?
We are told:
- $ \frac{1}{2} $ bag → $ \frac{1}{10} $ of the garden
- We want to find how many bags for the
whole garden (i.e., 1 full garden)
So, set up a proportion:
If $ \frac{1}{2} $ bag plants $ \frac{1}{10} $ of the garden, then how many bags ($ x $) plant 1 whole garden?
$$
\frac{1/2}{1/10} = \frac{x}{1}
$$
Solve:
$$
x = \frac{1/2}{1/10} = \frac{1}{2} \times \frac{10}{1} = 5
$$
✔ So, Kendall will use
5 bags to plant the entire garden.
Answer: D) 5
---
Problem 2:
A brownie recipe requires 2/3 cup of sugar for 1/3 batch of brownies. How much sugar is needed for 1 batch of brownies?
We know:
- $ \frac{2}{3} $ cup → $ \frac{1}{3} $ batch
- Find sugar for 1 batch
Set up ratio:
$$
\frac{2/3}{1/3} = \text{sugar per full batch}
$$
$$
= \frac{2}{3} \div \frac{1}{3} = \frac{2}{3} \times \frac{3}{1} = 2
$$
✔ So,
2 cups of sugar are needed for 1 batch.
Answer: B) 2 cups
---
Problem 3:
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
Unit rate = total cost ÷ number of pounds
$$
\frac{3.75}{3} = 1.25
$$
✔ So, the unit rate is
$1.25 per pound
Answer: B) $1.25 per pound
---
Problem 4:
Simplify the complex fraction:
$$
\frac{\frac{1}{4}}{\frac{10}{9}}
$$
To simplify a complex fraction, multiply numerator by the reciprocal of the denominator:
$$
\frac{1}{4} \div \frac{10}{9} = \frac{1}{4} \times \frac{9}{10} = \frac{9}{40}
$$
✔ Simplified form: $ \frac{9}{40} $
Answer: C) 9/40
---
✔ Final Answers:
1.
D) 5
2.
B) 2 cups
3.
B) $1.25 per pound
4.
C) 9/40
Let me know if you'd like help with the rest of the quiz!
Parent Tip: Review the logic above to help your child master the concept of complex fractions worksheet 7th grade.
