Use the image to answer the question.

Question

A rectangle is divided into five equal parts by vertical lines. Four of the five parts are shaded.
Which fraction, when reduced, is equal to the fraction represented by the given model?

(1 point)
Responses

1216
Start Fraction 12 over 16 End Fraction

2835
Start Fraction 28 over 35 End Fraction

1214
Start Fraction 12 over 14 End Fraction

2030
Start Fraction 20 over 30 End Fraction

Answer 1

The rectangle is divided into 5 equal parts, and 4 of those parts are shaded. This can be represented as the fraction \( \frac{4}{5} \).

Now, let's evaluate the options to find which of these fractions is equivalent to \( \frac{4}{5} \) when reduced.

1. \( \frac{12}{16} \) can be reduced by dividing the numerator and denominator by 4, resulting in \( \frac{3}{4} \).
2. \( \frac{28}{35} \) can be reduced by dividing the numerator and denominator by 7, resulting in \( \frac{4}{5} \).
3. \( \frac{12}{14} \) can be reduced by dividing the numerator and denominator by 2, resulting in \( \frac{6}{7} \).
4. \( \frac{20}{30} \) can be reduced by dividing the numerator and denominator by 10, resulting in \( \frac{2}{3} \).

Among the options, \( \frac{28}{35} \) reduces to \( \frac{4}{5} \).

Thus, the correct response is:

\( \frac{28}{35} \)