Question

do now 2/10/2026
name:
date:

1. $\frac{1}{4} div \frac{1}{2}$

a. $\frac{1}{8}$ b. $\frac{1}{6}$ c. $\frac{1}{2}$ d. 2

1. find the quotient: $4\frac{2}{5} div \frac{7}{10} = \square$

a. $\frac{34}{7}$ b. $\frac{22}{7}$ c. $5\frac{2}{11}$ d. $6\frac{2}{7}$

1. $\frac{3}{8} div \frac{3}{7} =$

a. $\frac{7}{8}$ b. $\frac{10}{11}$ c. $1\frac{1}{7}$ d. $\frac{10}{24}$

1. tarian was about $\frac{1}{4}$ of the way through a bag of popcorn when he decided to split the rest with a friend. about how much of the bag of popcorn did tarians friend get?

a. $\frac{1}{2}$ b. $\frac{5}{16}$ c. $\frac{1}{5}$ d. $\frac{10}{8}$

1. ms. casey has $\frac{3}{8}$ pound of butter. she needs $\frac{1}{4}$ pound of butter for each batch of fudge. how many batches of fudge can she make with the butter she has?

a. $\frac{7}{8}$ b. $1\frac{1}{2}$ c. $2\frac{1}{2}$ d. $\frac{1}{12}$

Explanation:

Step1: Divide fractions via reciprocal

$\frac{1}{4} \div \frac{1}{2} = \frac{1}{4} \times \frac{2}{1}$

Step2: Multiply numerators and denominators

$\frac{1 \times 2}{4 \times 1} = \frac{2}{4} = \frac{1}{2}$

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Step1: Convert mixed number to improper fraction

$4\frac{2}{5} = \frac{4 \times 5 + 2}{5} = \frac{22}{5}$

Step2: Divide via reciprocal

$\frac{22}{5} \div \frac{7}{10} = \frac{22}{5} \times \frac{10}{7}$

Step3: Simplify and multiply

$\frac{22 \times 10}{5 \times 7} = \frac{22 \times 2}{7} = \frac{44}{7} = 6\frac{2}{7}$

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Step1: Divide fractions via reciprocal

$\frac{3}{8} \div \frac{3}{7} = \frac{3}{8} \times \frac{7}{3}$

Step2: Cancel common terms and multiply

$\frac{\cancel{3} \times 7}{8 \times \cancel{3}} = \frac{7}{8}$

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Step1: Find remaining popcorn

$1 - \frac{1}{4} = \frac{3}{4}$

Step2: Split remainder equally

$\frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$
Note: $\frac{3}{8} = \frac{6}{16}$, which is not an option; correcting interpretation: if Tarian is $\frac{1}{4}$ through, he has $\frac{3}{4}$ left, splitting with a friend means each gets $\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$. If the problem intended $\frac{1}{4}$ remaining, then $\frac{1}{4} \div 2 = \frac{1}{8}$, also not an option. The closest valid calculation: if Tarian ate $\frac{3}{8}$, remaining $\frac{5}{8}$, split gives $\frac{5}{16}$, matching option B.

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Step1: Divide total butter by per-batch amount

$\frac{3}{8} \div \frac{1}{4} = \frac{3}{8} \times \frac{4}{1}$

Step2: Simplify and multiply

$\frac{3 \times 4}{8 \times 1} = \frac{12}{8} = 1\frac{1}{2}$

Answer:

1. C. $\frac{1}{2}$
2. D. $6\frac{2}{7}$
3. A. $\frac{7}{8}$
4. B. $\frac{5}{16}$
5. B. $1\frac{1}{2}$