James planted a garden. He told his friends that he planted tomatoes in 1/3 of 3/4 of the garden. Which area model represents the part of the garden that contains tomatoes?

Question

James planted a garden. He told his friends that he planted tomatoes in 1/3 of 3/4 of the garden. Which area model represents the part of the garden that contains tomatoes?

A: Model shows 1/7*
B: Model shows 2/10
C: Model shows 3/10
D: Model shows 0/9

* Is my answer

Answer 1

so what is it

Answer 2

To determine which area model represents the part of the garden that contains tomatoes, we need to first find the fraction representing the area of the garden that contains tomatoes.

James planted tomatoes in 1/3 of 3/4 of the garden.

To calculate that, we multiply 1/3 by 3/4:
(1/3) * (3/4) = 3/12 = 1/4

Therefore, the fraction representing the area of the garden that contains tomatoes is 1/4.

Now, we can examine the given options:

A: Model shows 1/7
B: Model shows 2/10
C: Model shows 3/10
D: Model shows 0/9

Based on our calculation, the area model that represents the part of the garden that contains tomatoes is the one that shows 1/4. None of the given options match this, so none of the provided area models represent the correct amount.

Answer 3

To find the area model that represents the part of the garden containing tomatoes, we need to multiply the fractions 1/3 and 3/4.

First, multiply the numerators: 1 × 3 = 3.
Then, multiply the denominators: 3 × 4 = 12.

So, the product of 1/3 and 3/4 is 3/12.

Since an area model represents the whole as 1, we need to find an equivalent fraction for 3/12 that has a denominator of 1. To do this, we divide both the numerator and the denominator by their greatest common factor, which is 3.

Dividing 3 by 3, we get 1.
Dividing 12 by 3, we get 4.

Therefore, the fraction 3/12 is equivalent to 1/4.

Looking at the answer choices:
A: Model shows 1/7 - This is not the answer since 1/4 was the correct answer.
B: Model shows 2/10 - This is not the answer as it represents a different fraction.
C: Model shows 3/10 - This is not the answer as it represents a different fraction.
D: Model shows 0/9 - This is not the answer as it represents zero.

So, the correct answer is not among the given choices.

Answer 4

1/3 of 3/4 = 1/3 * 3/4 = 1/4

I suspect a typo