Question

colin is setting up supplies for a sand art class. he has 3 pounds of sand to put equally into 4 buckets. colin makes a model to determine how many pounds of sand will be in each bucket.
3 × 1/4 = 3/4
the model shows 3 × 1/4. how can you write the multiplication as division?
how much sand will be in each bucket?
drag a number into each box to answer the questions.
3 × 1/4 is equal to \boxed{} ÷ \boxed{}.
there will be \boxed{} pound(s) of sand in each bucket.
options: 1/4, 1/3, 3/4, 4/3, 3, 4

Explanation:

First Sub - Question (Rewriting Multiplication as Division)

Step1: Recall fraction multiplication - division relation

We know that multiplying a number by a fraction $\frac{1}{n}$ is the same as dividing the number by $n$. For the expression $3\times\frac{1}{4}$, using the rule $a\times\frac{1}{b}=\frac{a}{b}=a\div b$, here $a = 3$ and $b = 4$. So $3\times\frac{1}{4}=3\div4$.

Step2: Identify the numbers for the boxes

So the first box (dividend) should be 3 and the second box (divisor) should be 4.

Second Sub - Question (Amount of sand in each bucket)

Step1: Calculate the value of $3\times\frac{1}{4}$

We know that $3\times\frac{1}{4}=\frac{3\times1}{4}=\frac{3}{4}$.

Step2: Confirm the result

So the amount of sand in each bucket is $\frac{3}{4}$ pounds.

Answer:

For $3\times\frac{1}{4}$ is equal to $\boldsymbol{\square\div\square}$: The first box is 3, the second box is 4.
There will be $\boldsymbol{\frac{3}{4}}$ pound(s) of sand in each bucket.