Which of the following fractions are equivalent to 416

Question

? Select all that apply.

A large rectangle divided into 16 equal-sized pieces is shown. 4 of the 16 pieces are colored yellow.

(1 point)
Responses

412

4 12

24

2 4

28

2 8

14

1 4

1632

16 32

Answer 1

To determine which of the given fractions are equivalent to 416, we first have to understand what the fraction 416 represents. Since "416" is a whole number, it's typically presented as the fraction 416/1. However, if you meant to say 4/16, it can be simplified.

Let's simplify 4/16 to see if it equals 416.

• 4/16 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

  \[ 4 ÷ 4 = 1 \] \[ 16 ÷ 4 = 4 \]

Thus, \( \frac{4}{16} = \frac{1}{4} \).

Now, let's identify which of the fractions listed could potentially be equivalent to the fraction 416.

Here are the fractions from your options:

• 412 (not equivalent)
• 4/12 (simplifies to 1/3, not equivalent)
• 24 (not a fraction)
• 2/4 (simplifies to 1/2, not equivalent)
• 28 (not a fraction)
• 2/8 (simplifies to 1/4, equivalent)
• 14 (not a fraction)
• 1/4 (equivalent)
• 1632 (not a standard fraction)
• 16/32 (simplifies to 1/2, not equivalent)

So, the fractions equivalent to 4/16 are:

• 2/8
• 1/4

Thus, 2/8 and 1/4 are the two equivalent fractions.