Question

What is the value of the equation 4/7 ×3/4
, select all that apply.(1 point)
Responses

12
1 half

1228
12 over 28

614
6 over 14

37
3 sevenths

24

Answer 1

To calculate the value of the equation \( \frac{4}{7} \times \frac{3}{4} \), you can multiply the numerators together and the denominators together:

\[
\frac{4 \times 3}{7 \times 4} = \frac{12}{28}
\]

Now, simplifying \( \frac{12}{28} \):

\[
\frac{12 \div 4}{28 \div 4} = \frac{3}{7}
\]

So, the value of the equation is \( \frac{3}{7} \).

Now, let's see which of the given responses apply based on our calculations:

- 12 (not correct)
- 1 half (not correct)
- 1228 (not correct)
- 12 over 28 (this is equivalent to the calculated value \( \frac{12}{28} \))
- 614 (not correct)
- 6 over 14 (this is equivalent to \( \frac{3}{7} \))
- 37 (this is equivalent to \( \frac{3}{7} \))
- 24 (not correct)

The correct responses that apply are:

- 12 over 28
- 6 over 14
- 3 sevenths